# Recent questions tagged vector

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What is the logarithmic norm?
What is the logarithmic norm?What is the logarithmic norm? ...
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Use Head to Tail Method to represent the following vectors and finally draw Resultant vector.
Use Head to Tail Method to represent the following vectors and finally draw Resultant vector.F1=12N in the positive x direction. &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;F2=10N in the positive x direction. &nbsp;&nbs ...
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Why is $|c| ||y|| = ||cy||$ where $y$ is a vector and $c$ is a constant?
Why is $|c| ||y|| = ||cy||$ where $y$ is a vector and $c$ is a constant?Why is $|c| ||y|| = ||cy||$ where $y$ is a vector and $c$ is a constant? ...
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What is the dot product of u a row matrix and v a column matrix?
What is the dot product of u a row matrix and v a column matrix?What is the dot product of u a row matrix and v a column matrix? ...
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What is the dot product of u a column matrix and v a row matrix?
What is the dot product of u a column matrix and v a row matrix?What is the dot product of u a column matrix and v a row matrix? ...
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Let $\mathbf{r}_{0}=\left(x_{0}, y_{0}\right)$ be a fixed vector in $R^{2}$. In each part, describe in words the set of all vectors $\mathbf{r}=(x, y)$ that satisfy the stated condition.Let $\mathbf{r}_{0}=\left(x_{0}, y_{0}\right)$ be a fixed vector in $R^{2}$. In each part, describe in words the set of all vectors $\mathbf{r}=(x, y) ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Find the norm of$v$, and a unit vector that is oppositely directed to$\mathbf{v} = (2, 2, 2)$0 answers 11 views Find the norm of$v$, and a unit vector that is oppositely directed to$\mathbf{v} = (2, 2, 2)$Find the norm of$v$, and a unit vector that is oppositely directed to$\mathbf{v} = (2, 2, 2)$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Find the norm of$v$, and a unit vector that is oppositely directed to$\mathbf{v} = (1, -1, 2)$0 answers 11 views Find the norm of$v$, and a unit vector that is oppositely directed to$\mathbf{v} = (1, -1, 2)$Find the norm of$v$, and a unit vector that is oppositely directed to$\mathbf{v} = (1, -1, 2)$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 If$\|\mathbf{v}\|=2$and$\|\mathbf{w}\|=3$, what are the largest and smallest values possible for$\|\mathbf{v}-\mathbf{w}\|$? Give a geometric explanation of your results. 0 answers 12 views If$\|\mathbf{v}\|=2$and$\|\mathbf{w}\|=3$, what are the largest and smallest values possible for$\|\mathbf{v}-\mathbf{w}\|$? Give a geometric explanation of your results.If$\|\mathbf{v}\|=2$and$\|\mathbf{w}\|=3$, what are the largest and smallest values possible for$\|\mathbf{v}-\mathbf{w}\|$? Give a geometric exp ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Are these statements True or False? 0 answers 10 views Are these statements True or False?(a) If each component of a vector in$R^{3}$is doubled, the norm of that vector is doubled. &nbsp; (b) In$R^{2}$, the vectors of norm 5 whose init ... close 0 answers 5 views Find, to the nearest degree, the angles that a diagonal of a box with dimensions$10 \mathrm{~cm} \times 11 \mathrm{~cm} \times 25 \mathrm{~cm}$makes with the edges of the box.Find, to the nearest degree, the angles that a diagonal of a box with dimensions$10 \mathrm{~cm} \times 11 \mathrm{~cm} \times 25 \mathrm{~cm}$makes ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 If$\mathbf{v}$is a vector in$R^{n}$, and if$k$is any scalar, then prove that$\|k \mathbf{v}\|=|k|\|\mathbf{v}\|$1 answer 8 views If$\mathbf{v}$is a vector in$R^{n}$, and if$k$is any scalar, then prove that$\|k \mathbf{v}\|=|k|\|\mathbf{v}\|$If$\mathbf{v}$is a vector in$R^{n}$, and if$k$is any scalar, then prove that$\|k \mathbf{v}\|=|k|\|\mathbf{v}\|$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Let$\mathbf{u}=(2,-1,3)$and$\mathbf{a}=(4,-1,2)$. Find the vector component of$\mathbf{u}$along a and the vector component of$\mathbf{u}$orthogonal to a. 1 answer 5 views Let$\mathbf{u}=(2,-1,3)$and$\mathbf{a}=(4,-1,2)$. Find the vector component of$\mathbf{u}$along a and the vector component of$\mathbf{u}$orthogonal to a.Let$\mathbf{u}=(2,-1,3)$and$\mathbf{a}=(4,-1,2)$. Find the vector component of$\mathbf{u}$along a and the vector component of$\mathbf{u}$orthog ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Find a unit vector that is orthogonal to both$\mathbf{u}=(1,0,1)$and$\mathbf{v}=(0,1,1)$0 answers 5 views Find a unit vector that is orthogonal to both$\mathbf{u}=(1,0,1)$and$\mathbf{v}=(0,1,1)$Find a unit vector that is orthogonal to both$\mathbf{u}=(1,0,1)$and$\mathbf{v}=(0,1,1)$... close 0 answers 10 views Show that if$\mathbf{v}$is orthogonal to both$\mathbf{w}_{1}$and$\mathbf{w}_{2}$, then$\mathbf{v}$is orthogonal to$k_{1} \mathbf{w}_{1}+k_{2} \mathbf{w}_{2}$for all scalars$k_{1}$and$k_{2}$.Show that if$\mathbf{v}$is orthogonal to both$\mathbf{w}_{1}$and$\mathbf{w}_{2}$, then$\mathbf{v}$is orthogonal to$k_{1} \mathbf{w}_{1}+k_{2} ...
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Is it possible to have $\operatorname{proj}_{\mathrm{a}} \mathbf{u}=\operatorname{proj}_{\mathbf{u}} \mathbf{a} ?$ Explain.
Is it possible to have $\operatorname{proj}_{\mathrm{a}} \mathbf{u}=\operatorname{proj}_{\mathbf{u}} \mathbf{a} ?$ Explain.Is it possible to have $\operatorname{proj}_{\mathrm{a}} \mathbf{u}=\operatorname{proj}_{\mathbf{u}} \mathbf{a} ?$ Explain. ...
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Determine whether the statements are true or false, and justify your answer
Find the lengths of the sides and the interior angles of the triangle in $R^{4}$ whose vertices are $$P(2,4,2,4,2), \quad Q(6,4,4,4,6), \quad R(5,7,5,7,2)$$
Find the lengths of the sides and the interior angles of the triangle in $R^{4}$ whose vertices are $$P(2,4,2,4,2), \quad Q(6,4,4,4,6), \quad R(5,7,5,7,2)$$Find the lengths of the sides and the interior angles of the triangle in $R^{4}$ whose vertices are P(2,4,2,4,2), \quad Q(6,4,4,4,6), \quad R(5,7,5 ... close 0 answers 4 views Express the vector \mathbf{u}=(2,3,1,2) in the form \mathbf{u}=\mathbf{w}_{1}+\mathbf{w}_{2}, where \mathbf{w}_{1} is a scalar multiple of \mathbf{a}=(-1,0,2,1) and \mathbf{w}_{2} is orthogonal to a. Express the vector \mathbf{u}=(2,3,1,2) in the form \mathbf{u}=\mathbf{w}_{1}+\mathbf{w}_{2}, where \mathbf{w}_{1} is a scalar multiple of \m ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 What is the form of vector and parametric equations of lines in R^{2} and R^{3} 1 answer 4 views What is the form of vector and parametric equations of lines in R^{2} and R^{3}What is the form of vector and parametric equations of lines in R^{2} and R^{3} ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Find a formula in terms of n for \sum_{r=1}^{n}\left(3 r^{2}+r-2\right). Simplify your answer fully. 0 answers 6 views Find a formula in terms of n for \sum_{r=1}^{n}\left(3 r^{2}+r-2\right). Simplify your answer fully. Find a formula in terms of n for \sum_{r=1}^{n}\left(3 r^{2}+r-2\right). Simplify your answer fully. &nbsp; NB: You may find the following ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Find the sum of the first three terms of  \sum_{r=1}^{n}\left(3 r^{2}+r-2\right) 0 answers 2 views Find the sum of the first three terms of  \sum_{r=1}^{n}\left(3 r^{2}+r-2\right)\begin{aligned} &amp;\text { Find the sum of the first three terms of } \sum_{r=1}^{n}\left(3 r^{2}+r-2\right) \text {. } \end{aligned} ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 What is the dot product of u a row matrix and v a row matrix? 1 answer 3 views What is the dot product of u a row matrix and v a row matrix?What is the dot product of u a row matrix and v a row matrix? ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Which of the following is the direction vector of the line \left\{\begin{array}{l} x=2+t \\ y=-1-t, t \in \mathbb{R} \\ z=t \end{array}\right. $$0 answers 5 views Which of the following is the direction vector of the line$$ \left\{\begin{array}{l} x=2+t \\ y=-1-t, t \in \mathbb{R} \\ z=t \end{array}\right. $$Which of the following is the direction vector of the line$$ \left\{\begin{array}{l} x=2+t \\ y=-1-t, t \in \mathbb{R} \\ z=t \end{array}\right. $$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Which of the following is the direction vector of the line$$ \left\{\begin{array}{l} -x=2+t \\ y=-1-t, t \in R \\ z=t \end{array}\right. $$0 answers 5 views Which of the following is the direction vector of the line$$ \left\{\begin{array}{l} -x=2+t \\ y=-1-t, t \in R \\ z=t \end{array}\right. $$Which of the following is the direction vector of the line$$ \left\{\begin{array}{l} -x=2+t \\ y=-1-t, t \in R \\ z=t \end{array}\right.  &nbsp; ...