Mark (√) against the correct answer in 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 α , β and γ are the angles made by the vector with X,Y and z axes respectively

are the direction cosines .

As we know that if are the direction cosines , then the relation between them is

We also know that

So we can write ((

⇒

Mark (√) against the correct answer in 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 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