A vector is inclined to the x - axis at 45^o and y - axis at 60^o. If units, find

Question

A vector is inclined to the x - axis at 45 o and y - axis at 60 o . If units, find

Philoid · Accepted Answer

Here, α = 45°,β = 60°,γ = θ (say)

l = cosα

= cos45°

m = cosα

= cos45°

n = cosθ

Now, substituting l, m,n in

l² + m² + n² = 1,

∴ r⃗ = |r⃗ |( l î + m ĵ + n k̂)

⇒ r⃗ = 4(√2 î + ĵ± k̂)

A vector is inclined to the x - axis at 45o and y - axis at 60o. If units, find