Vector Algebra Question 21
Question: The projection of vector $ 2\mathbf{i}+3\mathbf{j}-2\mathbf{k} $ on the vector $ \mathbf{i}+2\mathbf{j}+3\mathbf{k} $ will be
[RPET 1984, 90, 97, 99; Karnataka CET 2004]
Options:
A) $ \frac{1}{\sqrt{14}} $
B) $ \frac{2}{\sqrt{14}} $
C) $ \frac{3}{\sqrt{14}} $
D) $ \sqrt{14} $
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Answer:
Correct Answer: B
Solution:
- $ (2\mathbf{i}+3\mathbf{j}-2\mathbf{k}).\frac{(\mathbf{i}+2\mathbf{j}+3\mathbf{k})}{\sqrt{14}}=\frac{2}{\sqrt{14}}. $
BETA
