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Recent questions tagged vectors


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Use Head to Tail Method to represent the following vectors and finally draw Resultant vector.
0 answers 15 views
Use Head to Tail Method to represent the following vectors and finally draw Resultant vector.F1=12N in the positive x direction.             F2=10N in the positive x direction.  &nbs ...
by Khensanikesty
(104 points)
asked in Physics 1 day ago
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How do ISBN numbers apply dot products?
1 answer 17 views
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How do ISBN numbers apply dot products? How do ISBN numbers apply dot products?   ...
by MathsGee Platinum
(103,030 points)
asked in Mathematics Jan 13
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Show that two nonzero vectors $\mathbf{v}_{1}$ and $\mathbf{v}_{2}$ in $R^{3}$ are orthogonal if and only if their direction cosines satisfy
0 answers 7 views
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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.   (b) In $R^{2}$, the vectors of norm 5 whose init ...
by MathsGee Platinum
(103,030 points)
asked in Mathematics Jan 13
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When are two nonzero vectors orthogonal to each other?
1 answer 20 views
When are two nonzero vectors orthogonal to each other?When are two nonzero vectors orthogonal to each other? ...
by MathsGee Platinum
(103,030 points)
asked in Mathematics Jan 13
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Show that $\mathbf{u}=(-2,3,1,4)$ and $\mathbf{v}=(1,2,0,-1)$ are orthogonal vectors in $R^{4}$.
1 answer 11 views
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Let $S=\{\mathbf{i}, \mathbf{j}, \mathbf{k}\}$ be the set of standard unit vectors in $R^{3} .$ Show that each ordered pair of vectors in $S$ is orthogonal.

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How do I determine the equation of a normal in $R^2$ or $R^3$?
1 answer 9 views
How do I determine the equation of a normal in $R^2$ or $R^3$?How do I determine the equation of a normal in $R^2$ or $R^3$? ...
by MathsGee Platinum
(103,030 points)
asked in Mathematics Jan 13
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What are Orthogonal Projections?
1 answer 7 views
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Show that $\mathbf{u}=(-2,3,1,4)$ and $\mathbf{v}=(1,2,0,-1)$ are orthogonal
1 answer 2 views
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What is the distance $D$ between the point $P_{0}\left(x_{0}, y_{0},z_{0}\right)$ and the line $a x+b y+c z+d=0$ in $R^{3} ?$
1 answer 5 views
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Prove that, In $R^{3}$ the distance $D$ between the point $P_{0}\left(x_{0}, y_{0}, z_{0}\right)$ and the plane $a x+b y+c z+d=0$ is
1 answer 8 views
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Find the distance $D$ between the point $(1,-4,-3)$ and the plane $2 x-3 y+6 z=-1$.
1 answer 6 views
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Show that $\mathbf{v}=(a, b)$ and $\mathbf{w}=(-b, a)$ are orthogonal vectors.
0 answers 4 views
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Do the points $A(1,1,1), B(-2,0,3)$, and $C(-3,-1,1)$ form the vertices of a right triangle? Explain.
0 answers 3 views
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Is it possible to have $\operatorname{proj}_{\mathrm{a}} \mathbf{u}=\operatorname{proj}_{\mathbf{u}} \mathbf{a} ?$ Explain.
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A sailboat travels $100 \mathrm{~m}$ due north while the wind exerts a force of $500 \mathrm{~N}$ toward the northeast. How much work does the wind do?

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