Vector Algebra Question 314
Question: $ (\mathbf{a},.,\mathbf{i}),\mathbf{i}+(\mathbf{a},.,\mathbf{j})\mathbf{j}+(\mathbf{a},.,\mathbf{k}),\mathbf{k}= $
[Karnataka CET 2004]
Options:
A) a
B) 2 a
C) 0
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
- Let $ \mathbf{a}=x\mathbf{i}+y\mathbf{j}+z\mathbf{k} $ . Then $ (\mathbf{a}.\mathbf{i})\mathbf{i}+(\mathbf{a}.\mathbf{j})\mathbf{j}+(\mathbf{a}.\mathbf{k})\mathbf{k}=\mathbf{a}. $