Vector Algebra Question 22
Question: If vector $\vec{a}=2 \hat{i}-3 \hat{j}+6 \hat{k}$ and vector $\vec{b}=-2 \hat{i}+2 \hat{j}-\hat{k}$, then $\frac{\text { Projection of vector } \vec{a} \text { on vector} \vec{b}}{\text { Projection of vector } \vec{b} \text { on vector } \vec{a}}=$
[MP PET 1994, 99; Pb. CET 2000]
Options:
A) $ \frac{3}{7} $
B) $ \frac{7}{3} $
C) 3
D) 7
Show Answer
Answer:
Correct Answer: B
Solution:
- Required value $ ={\frac{\mathbf{b},.,\mathbf{a}}{|\mathbf{b}|}}/{\frac{\mathbf{a},.\mathbf{b}}{|\mathbf{a}|}};=\frac{|\mathbf{a}|}{|\mathbf{b}|}=\frac{7}{3}. $
BETA
