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}. $