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Question: Let <img src="https://cdn.pureessence.tech/canvas_618.png?top_left_x=832&top_left_y=0&width=300&heig...

Let and be four non-zero vectors such that = 0, = b| \overrightarrow { \mathrm { b } } | , r×c| \overrightarrow { \mathrm { r } } \times \overrightarrow { \mathrm { c } } | =, then [a, b, c] =

A

| a | | b | | c |

B

– | a | | b | | c |

C

0

D

None of these

Answer

0

Explanation

Solution

ra\overrightarrow { \mathrm { r } } \cdot \overrightarrow { \mathrm { a } } = 0, =and = rc| \overrightarrow { \mathrm { r } } \| \overrightarrow { \mathrm { c } } |

Ž r\overrightarrow { \mathbf { r } } \ are coplanar \ [a,b,c][ \overrightarrow { \mathrm { a } } , \overrightarrow { \mathrm { b } } , \overrightarrow { \mathrm { c } } ] = 0