A vector has a length of 10 and rises

at an angle of 40°. What is the

y-component of this vector?

X

SA

SERE

Correct answer: y = 6.43 units

Explanation:

Given: the length of the vector l = 10 units, angle that closes a vector with a positive direction to the x axis α = 40°

The vector forms a rectangular triangle with coordinate axes

sin α = y / l ⇒ y = l · sin α = 10 sin 40° = 10 · 0.643 = 6.43 units

y = 6.43 units

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