A B C D E F G H is a cuboid with base A B C D. Let A(0,0,0), B(12,0,0), C(12,6,0) and G(12,6,4) be the vertices. If \alpha is the angle between A B and A G ; \beta is the angle between A C and A G, then what is the value of \cos 2 \alpha+\cos 2 \beta ? [NDA-II 2021]

NDA Math Vector Algebra

Question : 12 of 101

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ABCDEFGH is a cuboid with base ABCD. Let A(0,0,0),B(12,0,0),C(12,6,0) and G(12,6,4) be the vertices. If α is the angle between AB and AG;β is the angle between AC and AG, then what is the value of cos‌2‌α+cos‌2‌β ?

[NDA-II 2021]

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40
49
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64
49
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120
49
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160
49

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