Vector Algebra Question 11
Question: If a and b are two non-zero vectors, then the component of b along a is
[MP PET 1991]
Options:
A) $ \frac{(\mathbf{a},.,\mathbf{b}),\mathbf{a}}{\mathbf{b},.,\mathbf{b}} $
B) $ \frac{(\mathbf{a},.,\mathbf{b}),\mathbf{b}}{\mathbf{a},.,\mathbf{a}} $
C) $ \frac{(\mathbf{a},.,\mathbf{b}),\mathbf{b}}{\mathbf{a},.,\mathbf{b}} $
D) $ \frac{(\mathbf{a},.,\mathbf{b}),\mathbf{a}}{\mathbf{a},.,\mathbf{a}} $
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Answer:
Correct Answer: D
Solution:
- $ (\mathbf{b}.\mathbf{\hat{a}})\mathbf{\hat{a}}={ \frac{(\mathbf{a}.\mathbf{b})}{|\mathbf{a}|} }\mathbf{\hat{a}}=\frac{(\mathbf{a}.\mathbf{b})\mathbf{a}}{\mathbf{a}.\mathbf{a}} $ .
BETA
