Question

In the figure, a vector x satisfies the equation $\mathbf{x} - \mathbf{w} = \mathbf{v}$.

Then x =

• A. $2\mathbf{a} + \mathbf{b} + \mathbf{c}$
• B. $\mathbf{a} + 2\mathbf{b} + \mathbf{c}$
• C. $\mathbf{a} + \mathbf{b} + 2\mathbf{c}$
• D. $\mathbf{a} + \mathbf{b} + \mathbf{c}$

Answer 1

Answer: (B)

$\mathbf{a} + 2\mathbf{b} + \mathbf{c}$

Answer 2

$\mathbf{v} = \mathbf{b} + \mathbf{c}$ …..(i)

$\mathbf{w} = \mathbf{b} + \mathbf{a}$ …..(ii)

We have, $\mathbf{x} = \mathbf{v} + \mathbf{w} = \mathbf{a} + 2\mathbf{b} + \mathbf{c}$.