Find the vector equation one of following plane. x + y = 3 - Vidyadip

Question

Find the vector equation one of following plane.
x + y = 3

✓

Answer

Given, equation of plane is,
x + y = 3
$(\text{x}\hat{\text{i}}+\text{y}\hat{\text{j}}+\text{z}\hat{\text{k}})(\hat{\text{i}}+\hat{\text{j}})=3$
$\vec{\text{r}}\cdot(\hat{\text{i}}+\hat{\text{j}})=3$
So,
Vector equation of the plane is $\vec{\text{r}}\cdot(\hat{\text{i}}+\hat{\text{j}})=3$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "2 Marks Questions" from Three Dimensional Geometry→Three Dimensional Geometry — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

Find the values of x and y so that the vectors $2\hat{i}+3\hat{j}\ \text{and}\ x\hat{i}\ +y\hat{j}$ are equal.

Show that the function $\text{f} (x) = 4x^{3} - 18x^{2} + 27x - 7$ is always increasing on IR.

Evaluate the following:
$\cot^{-1}\Big(\cot\frac{19\pi}{6}\Big)$

Find the area of the region enclosed by $x-$axis, the curve $y=\sin ^3 x \cos x$ and the ordinates $x=0$ and $x=\frac{\pi}{2}$.

Evaluate the following integrals:
$\int\cos^{-1}(\sin\text{x})\text{dx}$

An edge of a variable cube is increasing at the rate of $3 cm$ per second. How fast is the volume of the cube increasing when the edge is $10 cm$ long?

Define a transitive relation.

Show that the following systems of linear equations is inconsistent:

Two cards are drawn at random and without replacement from a pack of 52 playing cards. Find the probability that both the cards are black.

Find the cartesian equation of the line which passes through the point (-2, 4, -5) and parallel to the line given by$\frac{{x + 3}}{3} = \frac{{y - 4}}{5} = \frac{{z + 8}}{6}$.