Eric decided to go for a walk from his home. He headed 6 meters east and x meters north. The angle formed by the displacement ve

Question

3 years ago

11

ctor and the horizontal vector is 37°. What is the length of the displacement vector?

2 answers:

Lunna [17] · Answer 1 · 2022-07-17T16:24:27+03:00

Lunna [17]3 years ago

6 0

The answer is A. 7.5.

Anastaziya [24] · Answer 2 · 2022-07-17T14:53:24+03:00

Answer:

Length of displacement vector = 7.51 m

Explanation:

Consider east as positive X axis and North as positive Y axis.

Eric headed 6 meters east, Displacement = 6 i

Then he headed X meters north, Displacement = X j

Total displacement = 6 i + X j

Angle it makes with horizontal axis, θ = tan⁻¹(X/6) = 37°

X/6 = tan 37

X = 4.52 m

Total displacement = 6 i + 4.52 j

Magnitude = $\sqrt{6^2+4.52^2} =7.51m$

Length of displacement vector = 7.51 m