a (a b)= - Vidyadip

MCQ

$\bar{a} \cdot(\bar{a} \times \bar{b})=$

A
$\bar{b} \cdot \bar{b}$
B
$\bar{a}^2 \bar{b}$
✓
$0$
D
$\bar{a}^2+\bar{a} \bar{b}$

✓

Answer

Correct option: C.

$0$

(C) $\overline{ a } \cdot(\overline{ a } \times \overline{ b })=(\overline{ a } \times \overline{ a }) \cdot b =0$

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 "MCQ" from Vectors→Vectors — all question types→Maths STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

If a matrix $A$ is such that $3A^3 + 2A^2 + 5A + I , = 0$, then $A^{-1}$ equal to:

If product of distances of point $(1,2,-1)$ from planes $2 x-3 y+ z + k =0$ and $x+2 y+3 z =0$ is 1 , then k is equal to

$A =\left[\begin{array}{ll}0 & 3 \\ 2 & 0\end{array}\right]$ and $A ^{-1}=\lambda(\operatorname{adj}( A ))$, then $\lambda=$

If the mean and variance of a binomial distribution are 5 and 2.5 respectively, then $n=$

One of the lines represented by the equation $x^2+6 x y=0$ is

If $p: A$ man is happy, $q: A$ man is rich, then the symbolic form of A man is neither happy nor rich is

$\int_2^3 \frac{d x}{x\left(x^3-1\right)}=$

If ABCD is a parallelogram with AC and BD as diagonals, then $\overline{ AC }-\overline{ BD }=$

Given that $X \sim B(n, p)$. If $n=10, p=0.4$, then $E(X)=$_____

The values of ' $a$ ' for which the points $A, B, C$ with position vectors $2 \hat{i}-\hat{j}+\hat{k}, \hat{i}-3 \hat{j}-5 \hat{k}$ and $a\hat{i}-3 \hat{j}+\hat{k}$ respectively are the vertices of a right angled triangle with $C =\pi / 2$ are