Write a vector normal to the plane r =l b +m c . - Vidyadip

Question

Write a vector normal to the plane $\vec{\text{r}}=\text{l}\vec{\text{b}}+\text{m}\vec{\text{c}}$ .

✓

Answer

The equation of the given plane is
$\vec{\text{r}}=\text{l}\vec{\text{b}}+\text{m}\vec{\text{c}}$
So, the plane passes parallel to the vectors $\vec{\text{b}}$ and $\vec{\text{c}}$.
So, the vector normal to the plane is $\vec{\text{b}}\times\vec{\text{c}}$.

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 "Solve the Following Question.(2 Marks)" from The plane→The plane — all question types→Maths STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

Find the domain of definition of $\text{f(x)}=\cos^{-1}\big(\text{x}^2-4\big).$

A trust fund has Rs. 30000 that must be invested in two different types of bonds. The first bond pays 5% interest per year, and the second bond pays 7% interest per year. Using matrix multiplication, determine how to divide Rs. 30000 among the two types of bonds. If the trust fund must obtain an annual total interest of:

Rs. 1800
Rs. 2000

Let $A$ and $B$ be two independent events such that $P(A)=p_1$ and $P(B)=p_2$. Describe in words the events whose probabilities are:
$\left(1-p_1\right) p_2$.

If $\text{f(x)}=\int\limits^{\text{x}}_0\text{t}\sin\text{t dt},$ the write the value of f'(x).

Determine whether the following operations define a binary operation on the given set or not:
' O ' on Z defined by a $Ob = a ^{ b }$ for $all a , b \in Z$.

If $A = [A_{ij}] is a 3 \times 3$ diaginal matrix such that $a_{11} = 1, a_{22} = 2, a_{33} = 3$, then find $|A|$.

$\int_0^{2 \pi} \sqrt{\cos x} \cdot \sin ^3 x \cdot d x$

Compute the products AB and BA whichever exists the following cases:
$[\text{a},\text{b}]\begin{bmatrix}\text{c}\\\text{d} \end{bmatrix}+\big[\text{a},\text{b},\text{c},\text{d}\big]\begin{bmatrix}\text{a}\\\text{b}\\\text{c}\\\text{d}\end{bmatrix}$

Solve the differential equation $\frac{d y}{d x}=x^2 y+y$

The radius of a circle is increasing at the rate of 0.5cm/ sec. Find the rate of increase of its circumference.