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Question: If <img src="https://cdn.pureessence.tech/canvas_99.png?top_left_x=1113&top_left_y=757&width=300&hei...

If and , then the vector such that = 2 and = b→\overrightarrow { \mathrm { b } } is-

A

13(i^−2j^+k^)\frac { 1 } { 3 } ( \hat { \mathrm { i } } - 2 \hat { \mathrm { j } } + \hat { \mathrm { k } } )

B

13(−i^+2j^+5k^)\frac { 1 } { 3 } ( - \hat { \mathrm { i } } + 2 \hat { \mathrm { j } } + 5 \hat { \mathrm { k } } )

C
D
Answer

13(−i^+2j^+5k^)\frac { 1 } { 3 } ( - \hat { \mathrm { i } } + 2 \hat { \mathrm { j } } + 5 \hat { \mathrm { k } } )

Explanation

Solution

=

= 3i^−3k^3 \hat { i } - 3 \hat { k }

\ (2a⃗−a⃗×b⃗)( 2 \vec { a } - \vec { a } \times \vec { b } ) = 13\frac { 1 } { 3 }