# Recent questions tagged perpendicular

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Show that $\mathbf{u}=(-2,3,1,4)$ and $\mathbf{v}=(1,2,0,-1)$ are orthogonal vectors in $R^{4}$.
Show that $\mathbf{u}=(-2,3,1,4)$ and $\mathbf{v}=(1,2,0,-1)$ are orthogonal vectors in $R^{4}$.Show that $\mathbf{u}=(-2,3,1,4)$ and $\mathbf{v}=(1,2,0,-1)$ are orthogonal vectors in $R^{4}$. ...
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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.
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.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 ortho ...
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What are Orthogonal Projections?
What are Orthogonal Projections?What are Orthogonal Projections? ...
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Show that $\mathbf{u}=(-2,3,1,4)$ and $\mathbf{v}=(1,2,0,-1)$ are orthogonal
Show that $\mathbf{u}=(-2,3,1,4)$ and $\mathbf{v}=(1,2,0,-1)$ are orthogonalShow that $\mathbf{u}=(-2,3,1,4)$ and $\mathbf{v}=(1,2,0,-1)$ are orthogonal ...
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Show that $\mathbf{v}=(a, b)$ and $\mathbf{w}=(-b, a)$ are orthogonal vectors.
Show that $\mathbf{v}=(a, b)$ and $\mathbf{w}=(-b, a)$ are orthogonal vectors.Show that $\mathbf{v}=(a, b)$ and $\mathbf{w}=(-b, a)$ are orthogonal vectors. ...
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If two lines in the cartesian plane are perpendicular, show that the angles they make with the positive $x$ axis can be written as $\alpha$ and $\frac{\pi}{2}+\alpha$ for some $\alpha$.If two lines in the cartesian plane are perpendicular, show that the angles they make with the positive $x$ axis can be written as $\alpha$ and $... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 The height of an isosceles triangle is \((18-x) \mathrm{mm}$ and the base is $(20+2 \mathrm{x}) \mathrm{mm}$. Determine $\times$ for a maximum area.
The height of an isosceles triangle is $(18-x) \mathrm{mm}$ and the base is $(20+2 \mathrm{x}) \mathrm{mm}$. Determine $\times$ for a maximum area.The height of an isosceles triangle is $(18-x) \mathrm{mm}$ and the base is $(20+2 \mathrm{x}) \mathrm{mm}$. Determine $\times$ for a maximum ar ...
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Let $u_{1}=(k, 2,3), u_{2}=(2,3,1), \quad t_{3}=(3,3,2), \quad \mu_{4}=(2,3,1)$ be vectors in $\mathbf{R}^{3}$. Which of the vectors, if any, are equal?
Let $u_{1}=(k, 2,3), u_{2}=(2,3,1), \quad t_{3}=(3,3,2), \quad \mu_{4}=(2,3,1)$ be vectors in $\mathbf{R}^{3}$. Which of the vectors, if any, are equal?Let $u_{1}=(k, 2,3), u_{2}=(2,3,1), \quad t_{3}=(3,3,2), \quad \mu_{4}=(2,3,1)$ be vectors in $\mathbf{R}^{3}$. Which of the vectors, if any, are equa ...
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Points $A(-3,2)$ and $B(1,4)$ are end points of the diameter of the circle. The equation of the circle is:
Points $A(-3,2)$ and $B(1,4)$ are end points of the diameter of the circle. The equation of the circle is:Points $A(-3,2)$ and $B(1,4)$ are end points of the diameter of the circle. The equation of the circle is: ...
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Let $\underline{u}=(12,-2)$ and $\underline{v}=(3,0 \quad 1)$ be vectors $m \mathbb{R}^{3}$
Let $\underline{u}=(12,-2)$ and $\underline{v}=(3,0 \quad 1)$ be vectors $m \mathbb{R}^{3}$(a) Let $\underline{u}=(12,-2)$ and $\underline{v}=(3,0 \quad 1)$ be vectors $m \mathbb{R}^{3}$ (i) Calculate $\underline{u} \times \underline{v}$ (ii ...
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Let $L_{1}$ be the line passing through the points $A(3,0,2)$ and $B(4,3,0)$ while $L_{2}$ is the line passing through the points $B(4,3,0)$ and $C(8,1,-1)$.
Let $L_{1}$ be the line passing through the points $A(3,0,2)$ and $B(4,3,0)$ while $L_{2}$ is the line passing through the points $B(4,3,0)$ and $C(8,1,-1)$.1. Let $L_{1}$ be the line passing through the points $A(3,0,2)$ and $B(4,3,0)$ while $L_{2}$ is the line passing through the points $B(4,3,0)$ and $C ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 A triangle has a base of 6 cm and a perpendicular height of 2 cm. Determine its area. 1 answer 637 views A triangle has a base of 6 cm and a perpendicular height of 2 cm. Determine its area.A triangle has a base of 6 cm and a perpendicular height of 2 cm. Determine its area. ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Prove that the line PE and the perpendicular bisectors of the segments PA and PB are concurrent. 0 answers 54 views Prove that the line PE and the perpendicular bisectors of the segments PA and PB are concurrent.Segments AC and BD intersect at point P such that PA = PD and PB = PC. Let E be the foot of the perpendicular from P to the line CD. Prove that the li ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 The number of vectors of unit length perpendicular to any two vectors is_? 1 answer 129 views The number of vectors of unit length perpendicular to any two vectors is_?The number of vectors of unit length perpendicular to any two vectors is_? ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Find the length of the side of the cut-out square so that the box has the largest possible volume. Also, find the volume of the box. 1 answer 196 views Find the length of the side of the cut-out square so that the box has the largest possible volume. Also, find the volume of the box.A cardboard box manufacturer wishes to make open boxes from rectangular pieces of cardboard with dimensions 40 cm by 60 cm by cutting equal squares fr ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 How are the gradients of parallel or perpendicular lines related to the gradient of a known line? 1 answer 1.2K views How are the gradients of parallel or perpendicular lines related to the gradient of a known line?How are the gradients of parallel or perpendicular lines related to the gradient of a known line? ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 A pyramid with a square base with a side length of 16cm is sketched below. P lies on the square base directly below A. The volume of the pyramid is$64 cm^3$1 answer 466 views A pyramid with a square base with a side length of 16cm is sketched below. P lies on the square base directly below A. The volume of the pyramid is$64 cm^3\$ A pyramid with a square base with a side length of 16cm is sketched below. P lies on the square base directly below A. The volume of the pyramid is ...
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What is the angle formed by two perpendicular lines called?
What is the angle formed by two perpendicular lines called?What is the angle formed by two perpendicular lines called? ...
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What are perpendicular lines and do these lines have a mathematical relationship that can be written as an equation?