A displacement vector D has a magnitude of 12 m... - SS1 Physics Scalar And Vector Quantities Question

A displacement vector D has a magnitude of 12 m and is directed at an angle of 45 degrees with the positive x-axis. Resolve the displacement vector into its x and y components

Given:

Magnitude of displacement (D) = 12 m

Angle with the x-axis (θ) = 45 degrees

To find the x and y components, we can use the same trigonometric relationships:

Dx = D X cos(θ)

Dy = D X sin(θ)

Calculating the components:

Dx = 12 m X cos(45 degrees) = 12 m X 0.707 = 8.49 m

Dy = 12 m X sin(45 degrees) = 12 m X 0.707 = 8.49 m

The x component of the displacement vector is 8.49m, and the y component is 8.49m.

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