If a + b + c = 0, then a b = - Vidyadip

MCQ

If $a + b + c = 0,$ then $a \times b =$

A
$c \times a$
B
$b \times c$
C
$0$
✓
Both $(a)$ and $(b)$

✓

Answer

Correct option: D.

Both $(a)$ and $(b)$

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 "M.C.Q (1 Marks)" from Vector Algebra→Vector Algebra — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

Let $d \in R$, and $A = \left[ {\begin{array}{*{20}{c}} { - 2}&{4 + d}&{\left( {\sin \,\theta } \right) - 2}\\ 1&{\left( {\sin \,\theta } \right) + 2}&d\\ 5&{\left( {2\sin \,\theta } \right) - d}&{\left( { - \sin \,\theta } \right) + 2 + 2d} \end{array}} \right]$, $\theta \in \left[ {0,2\pi } \right]$. If the minimum value of det $(A)$ is $8$, then a value of $d$ is

Among all sectors of a fixed perimeter, choose the one with maximum area. Then, the angle at the centre of this sector (i.e., the angle between the bounding radii) is

The number of functions $f$, from the set$A=\left\{x \in N: x^{2}-10 x+9 \leq 0\right\}$ to the set $B=\left\{n^{2}: n \in N\right\}$ such that $f(x) \leq(x-3)^{2}+1$, for every $x \in A$, is.

The least positive integral value of $\alpha$, for which the angle between the vectors $\alpha \hat{\mathrm{i}}-2 \hat{\mathrm{j}}+2 \mathrm{k}$ and $\alpha \hat{\mathrm{i}}+2 \alpha \hat{\mathrm{j}}-2 \mathrm{k}$ is acute, is

Let the probability of getting head for a biased coin be $\frac{1}{4}$. It is tossed repeatedly until a head appears. Let $N$ be the number of tosses required. If the probability that the equation $64 x ^2+5 Nx +1=0$ has no real root is $\frac{ p }{ q }$, where $p$ and $q$ are co-prime, then $q-p$ is equal to

Mark the correct alternative in the following question for the binary operation $*$ on $Z$ defined by $a^ * b = a + b + 1,$ the identity element is:

${\cot ^{ - 1}}\left[ {\frac{{\sqrt {1 - \sin x} + \sqrt {1 + \sin x} }}{{\sqrt {1 - \sin x} - \sqrt {1 + \sin x} }}} \right] = $

$\int_{\, - 1}^{\,2} {|x|\,dx} =$

Let $f$ be a positive function. Let

${I_1} = \int_{1 - k}^k {x\,f\left\{ {x(1 - x)} \right\}} \,dx$, ${I_2} = \int_{1 - k}^k {\,f\left\{ {x(1 - x)} \right\}} \,dx$

when $2k - 1 > 0.$ Then ${I_1}/{I_2}$ is

Choose the correct answer from the given four options.
The sine of the angle between the straight line $\frac{\text{x}-2}{3}=\frac{\text{y}-2}{3}=\frac{\text{z}-2}{3}$ and the plane $2\text{x}-2\text{y}+\text{z}=5$ is: