MCQ
The value of $(2 \hat{i}+3 \hat{j}-5 \hat{k}) \cdot(\hat{i}+\hat{j}+\hat{k})$ is
- ✓$0$
- B$-10$
- C$\sqrt{38}$
- D$15$
✓
Answer
Correct option: A.
$0$
$0$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
$\int_{}^{} {\frac{{{x^2}}}{{{{(x\sin x + \cos x)}^2}}}\;dx = } $
→Choose the correct answers from the given four options:
The derivative of $\cos^{-1}(2\text{x}^2-1)$ w.r.t. $\cos^{-1}\text{x}$ is:
→The derivative of $\cos^{-1}(2\text{x}^2-1)$ w.r.t. $\cos^{-1}\text{x}$ is:
The diagram given below shows that
The radius of the cylinder of maximum volume, which can be inscribed in a sphere of radius $R$ is :-
→Let $\mathrm{H}_1, \mathrm{H}_2, \ldots, \mathrm{H}_{\mathrm{n}}$ be mutually exclusive and exhaustive events with $\mathrm{P}\left(\mathrm{H}_{\mathrm{i}}\right)>0, \mathrm{i}=1,2, \ldots, \mathrm{n}$. Let $\mathrm{E}$ be any other event with $0<\mathrm{P}(\mathrm{E})<1$.
→$STATEMENT -1$ : $\mathrm{P}\left(\mathrm{H}_{\mathrm{i}} \mid \mathrm{E}\right)>\mathrm{P}\left(\mathrm{E} \mid \mathrm{H}_{\mathrm{i}}\right) \cdot \mathrm{P}\left(\mathrm{H}_{\mathrm{i}}\right)$ for $\mathrm{i}=1,2, \ldots, \mathrm{n}$ because
$STATEMENT$ $-2: \sum_{1=1}^{\mathrm{n}} \mathrm{P}\left(\mathrm{H}_{\mathrm{i}}\right)=1$
Choose the correct answer from the given four options: The area of the region bounded by the circle $x^2 + y^2 = 1$ is:
→If $f(x) = \left\{ \begin{array}{l}x\frac{{{e^{(1/x)}} - {e^{( - 1/x)}}}}{{{e^{(1/x)}} + {e^{( - 1/x)}}}},\,x \ne 0\\\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,0,\,x = 0\end{array} \right.$ then which of the following is true
→The solution of $\frac{{dy}}{{dx}} + \frac{y}{3} = 1$ is
→If $\text{x}+\text{y}\leq2,$ $\text{x}\leq0,$ $\text{y}\leq0$ the point at which maximum value of 3x + 2y attained will be.
→The differential equation satisfied by $\text{ax}^{2}+\text{by}^{2}=1$ is:
→