Solveeit Logo
Login

Question

Question: If<img src="https://cdn.pureessence.tech/canvas_177.png?top_left_x=949&top_left_y=0&width=169&height...

If= + + &.= 1 &×= –then is equal to –

A

2

B

– +

C
D

2 –

Answer
Explanation

Solution

Let = a + b + g k^\hat { \mathbf { k } }

× = – k^\hat { \mathbf { k } }

̃ ∣i^j^k^111αβγ∣\left| \begin{array} { c c c } \hat { \mathrm { i } } & \hat { \mathrm { j } } & \hat { \mathrm { k } } \\ 1 & 1 & 1 \\ \alpha & \beta & \gamma \end{array} \right| = – k^\hat { \mathbf { k } }

̃ b – g = 0, a - g = 1, a - b = 1

̃ b = g, a = 1 + g, a = 1 + b

. = 1 ̃ a + b + g = 1

̃ b + 1 + b + b = 1 ̃ b = 0

\ a = 1, g = 0

\ = .