Question

If , , are non-coplanar vectors such that

× = , × = and × = then –

• A. [] = 1
• B. [] ¹ 1
• C. || + || + || = 3
• D. None of these

Answer 1

Answer: (A)

<img src="https://cdn.pureessence.tech/canvas_231.png?top_left_x=984&top_left_y=944&width=207&height=300" style="width:0.125in;height:0.1875in" /><img src="https://cdn.pureessence.tech/canvas_302.png?top_left_x=1124&top_left_y=1317&width=180&height=300" style="width:0.125in;height:0.21528in" /><img src="https://cdn.pureessence.tech/canvas_535.png?top_left_x=0&top_left_y=1084&width=207&height=300" style="width:0.125in;height:0.1875in" /> = 1

Answer 2

× = Ž [] = . = || ²

similarly × = Ž [] = ||² × =

Ž [] = ||² Also, []

= [ × × ×]

= []² Ž [] = 1