MCQ
Which of the following is a true statement
  • A
    $(a \times b) \times c$ is coplanar with c
  • B
    $(a \times b) \times c$ is perpendicular to $a$
  • C
    $(a \times b) \times c$ is perpendicular to $ b$
  • $(a \times b) \times c$ is perpendicular to $c$

Answer

Correct option: D.
$(a \times b) \times c$ is perpendicular to $c$
d
(d)  It is obvious.

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

Similar questions

If $ 3\cos ^{ -1 }{ \text{x} } +\sin ^{ -1 }{\text{ x} } =π$ then x:
Area bounded by the curve $y = \sin x$ between $x = 0$ and $x = 2\pi $ is ......... $sq.\,unit$
The area included between the parabolas $y^2 = 4x$ and $x^2 = 4y$ is:
Let a smooth curve $y=f(x)$ be such that the slope of the tangent at any point $(x, y)$ on it is directly proportional to $\left(\frac{-y}{x}\right)$. If the curve passes through the point $(1,2)$ and $(8,1)$, then $\left| y \left(\frac{1}{8}\right)\right|$ is equal to
Out of $11$ consecutive natural numbers if three numbers are selected at random (without repetition), then the probability that they are in $A.P.$ with positive common difference, is
If $f(x) = {x^2} - 2x + 4$ and $\frac{{f(5) - f(1)}}{{5 - 1}} = f'(c)$ then value of $c$ will be
The equation of the normal to the curve $y = x(2 - x)$ at the point $(2, 0)$ is:
The integral $\int \frac{\left(x^8-x^2\right) d x}{\left(x^{12}+3 x^6+1\right) \tan ^{-1}\left(x^3+\frac{1}{x^3}\right)}$ is equal to:
The direction ratios of the line perprndicular to the lines $\frac{\text{x}-7}{2}=\frac{\text{y}+17}{-3}=\frac{\text{z}-6}{1}$ and, $\frac{\text{x}+5}{1}=\frac{\text{y}+3}{2}=\frac{\text{z}-4}{-2}$ are proportional to:
Choose the correct answer from the given four options. On using elementary column operations $C_2 → C_2 – 2C_1$ in the following matrix equation $\begin{bmatrix}1&-3\\2&4\end{bmatrix}=\begin{bmatrix}1&-1\\0&1\end{bmatrix}\begin{bmatrix}3&1\\2&4\end{bmatrix},$ we have: