Vector A has a magnitude of 248 N and direction angles of α = 85°, β = 114°, and γ = 25°. Express Vector A in unit vector notation.

Answer 1

To find the direction cosines of the vector,

l = cos(α) = cos(85)
m = cos(β) = cos(114)
n = cos(γ) = cos(25)

Now, the unit vector can be represented as:

li + mj + nk (i, j, k, are orthogonal unit vectors)

=> Unit vector = cos(85)i + cos(114)j + cos(25)k

Vector = Magnitude * Unit Vector
= 248(cos(85)i + cos(114)j + cos(25)k)