1
KCET 2019
MCQ (Single Correct Answer)
+1
-0

If $$|\mathbf{a}|=16,|\mathbf{b}|=4$$, then $$\sqrt{|\mathbf{a} \times \mathbf{b}|^2+|\mathbf{a} \cdot \mathbf{b}|^2}=$$

A
16
B
4
C
64
D
8
2
KCET 2019
MCQ (Single Correct Answer)
+1
-0

If the angle between $$\mathbf{a}$$ & $$\mathbf{b}$$ is $$\frac{2 \pi}{3}$$ and the projection of $$\mathbf{a}$$ in the direction of $$\mathbf{b}$$ is $$-$$2 , the $$|\mathbf{a}|=$$

A
2
B
4
C
1
D
3
3
KCET 2019
MCQ (Single Correct Answer)
+1
-0

A unit vector perpendicular to the plane containing the vector $$\hat{\mathbf{i}}+2 \hat{\mathbf{j}}+\hat{\mathbf{k}}$$ and $$-2 \hat{\mathbf{i}}+\hat{\mathbf{j}}+3 \hat{\mathbf{k}}$$ is

A
$$\frac{\hat{\mathbf{i}}-\hat{\mathbf{j}}+\hat{\mathbf{k}}}{\sqrt{3}}$$
B
$$\frac{\hat{\mathbf{i}}+\hat{\mathbf{j}}+\hat{\mathbf{k}}}{\sqrt{3}}$$
C
$$\frac{-\hat{\mathbf{i}}-\hat{\mathbf{j}}-\hat{\mathbf{k}}}{\sqrt{3}}$$
D
$$\frac{-\hat{\mathbf{i}}+\hat{\mathbf{j}}-\hat{\mathbf{k}}}{\sqrt{3}}$$
4
KCET 2019
MCQ (Single Correct Answer)
+1
-0

$$[\mathbf{a}+2 \mathbf{b}-\mathbf{c}, \mathbf{a}-\mathbf{b}, \mathbf{a}-\mathbf{b}-\mathbf{c}]=$$

A
$$2[\mathbf{a}, \mathbf{b}, \mathbf{c}]$$
B
0
C
$$3[\mathbf{a}, \mathbf{b}, \mathbf{c}]$$
D
$$[\mathbf{a}, \mathbf{b}, \mathbf{c}]$$
KCET Subjects
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12