If a vector A makes an angle alpha with +ve x-axis, an angle beta with +ve y-axis, and an angle gama with +ve z-axis, then proof that: sin^alpha + sin^beta + sin^gama = 2

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Aditya Gupta · Answer

by the formula of direction cosines we know that cos^2alpha +cos^2beta+cos^2gamma=1 or 1-sin^2alpha+1-sin^2beta+1-sin^2gama=1 or sin^2alpha+sin^2beta+sin^2gama=2 hence proved

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If a vector A makes an angle alpha with +ve x-axis, an angle beta with +ve y-axis, and an angle gama with +ve z-axis, then proof that: sin^alpha + sin^beta + sin^gama = 2

If a vector A makes an angle alpha with +ve x-axis, an angle beta with +ve y-axis, and an angle gama with +ve z-axis, then proof that: sin^alpha + sin^beta + sin^gama = 2

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If a vector A makes an angle alpha with +ve x-axis, an angle beta with +ve y-axis, and an angle gama with +ve z-axis, then proof that: sin^alpha + sin^beta + sin^gama = 2

If a vector A makes an angle alpha with +ve x-axis, an angle beta with +ve y-axis, and an angle gama with +ve z-axis, then proof that: sin^alpha + sin^beta + sin^gama = 2

1 Answers

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