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Recent questions tagged exercise2-8

Find the cartesian form of following planes: $\overrightarrow{r}=(1+s+t) \overrightarrow{i}+(2-s+t)\overrightarrow{j}+(3-2s+2t)\overrightarrow{k}$

asked Apr 8, 2013 by poojasapani_1

1 answer

Find the cartesian form of following planes:$ \overrightarrow{r}=(s-2t) \overrightarrow{i}+(3-t)\overrightarrow{j}+(2s+t)\overrightarrow{k}$

asked Apr 8, 2013 by poojasapani_1

1 answer

Derive the equation of the plane in the intercept form.

asked Apr 8, 2013 by poojasapani_1

1 answer

Find the vector cartesian equation of the plane passing through the points with position vectors $\overrightarrow{3i}+\overrightarrow{4j}+\overrightarrow{2k}, \overrightarrow{2i}-\overrightarrow{2j}-\overrightarrow{2k},$ and $\overrightarrow{7i}+\overrightarrow{k}.$

asked Apr 8, 2013 by poojasapani_1

1 answer

Find the vector cartesian equation of the plane containing the line $\large\frac{x-2}{2}=\frac{y-2}{3}=\frac{z-1}{-2}$ and passing through the point $(-1 , 1 , -1 )$

asked Apr 8, 2013 by poojasapani_1

1 answer

Find the vector and cartesian equations of the plane through the points $(1 , 2 , 3 )$and $(2 , 3 , 1 )$ perpendicular to the plane $ 3x-2y+4z-5=0$

asked Apr 8, 2013 by poojasapani_1

1 answer

Find the vector and cartesian equations of the plane passing through the points $ A(1 , -2 , 3 )$ and $B(-1 , 2 , -1 )$ and is parallel to the line $ \large\frac{x-2}{2}=\frac{y+1}{3}=\frac{z-1}{4}.$

asked Apr 8, 2013 by poojasapani_1

1 answer

Find the vector and cartesian equation to the plane through the point $(-1 , 3 , 2 ) $ and perpendicular to the planes $x+2y+2z=5$ and $3x+y+2z=8.$

asked Apr 7, 2013 by poojasapani_1

1 answer

Find the vector and cartesian equations of the plane through the point $(1 , 3 , 2 ) $ and parallel to the lines $\large\frac{x+1}{2}=\frac{y+2}{-1}=\frac{z+3}{3}$ and parallel to the line $\large\frac{x-2}{1}=\frac{y+1}{2}=\frac{z+2}{2}$

asked Apr 7, 2013 by poojasapani_1

1 answer

Find the vector and cartesian equations of the plane containing the line $\Large\frac{x-2}{2}=\frac{y-2}{3}=\frac{z-1}{3}$ and parallel to the line $\Large\frac{x+1}{3}=\frac{y-1}{2}=\frac{z+1}{1}$

asked Apr 7, 2013 by poojasapani_1

1 answer

Find the vector and cartesian equations of the plane through the point $(2 , -1 , 4 )$ and parallel to the plane $\overrightarrow{r} . (\overrightarrow{4i}-\overrightarrow{12j}-\overrightarrow{3k})=7.$

asked Apr 7, 2013 by poojasapani_1

1 answer

Find the equation of the plane through the point whose $p.v. $ is $\overrightarrow{2i}-\overrightarrow{j}+\overrightarrow{k}$ and perpendicular to the vector $\overrightarrow{4i}+\overrightarrow{2j}-\overrightarrow{3k}$

asked Apr 7, 2013 by poojasapani_1

1 answer

The foot of the perpendicular drawn from the origin to the plane is $(8 , -4 , 3 )$ find the equation of the plane.

asked Apr 7, 2013 by poojasapani_1

1 answer

Find the length of the perpendicular frome the origin to the plane$\overrightarrow{r} . (\overrightarrow{3i}+\overrightarrow{4j}+\overrightarrow{12k})=26$.

asked Apr 7, 2013 by poojasapani_1

1 answer

Find the unit normal vectors to the plane $2x-y+2z=5$

asked Apr 7, 2013 by poojasapani_1

1 answer

Find the vector and cartesian equations of a plane which is at a distance of $18$ units from the origin and which is normal to the vector $\overrightarrow{2i}+\overrightarrow{7j}+\overrightarrow{8k}$

asked Apr 7, 2013 by poojasapani_1

1 answer

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