Mark (√) against the correct answer in each of the following: If a vector makes angle α, β and γ with the x-axis, y-axis and z-axis respectively then the value of (sin 2 α + sin 2 β + sin 2 γ) is

Question

Philoid · Accepted Answer

Given - A vector makes angle α, β and γ with the x-axis, y-axis and z-axis respectively.

To Find - (sin²α + sin²β + sin²γ)

Formula to be used - cos²α + cos²β + cos²γ=1

Hence,

sin²α + sin²β + sin²γ

=(1-cos²α) +(1-cos²β) +(1-cos²γ)

= 3–(cos²α + cos²β + cos²γ)

=3-1

=2

Mark (√) against the correct answer in each of the following:If a vector makes angle α, β and γ with the x-axis, y-axis and z-axis respectively then the value of (sin2α + sin2β + sin2γ) is

Mark (√) against the correct answer in each of the following:
If a vector makes angle α, β and γ with the x-axis, y-axis and z-axis respectively then the value of (sin²α + sin²β + sin²γ) is