Print i The diagram below shows two vectors, A and B, and their angles relative

Question

Print i The diagram below shows two vectors, A and B, and their angles relative to the coordinate axes as indicated DATA: a 46.70 B- 56.2 IAI 4.1 cm. The vector A - B is parallel to the -x axis (points due West). Calculate the y-component of vector B nce the sum vector, A-B) has noy-component, vector A must have the same y comp nent as vector B. As shown," east is oro and north, rorw us the answer can be negative Tries 1/8 Previous Tries Calculate the x component of the vector A-B. e y and x using sin, cos, or tan. Components have signs, +or- of a vector are the projections of the vector onto the co rresponding axes. You can draw a triangle and calculate the components Tries 1/8 Previous Tries Calculate the magnitude of the vector A+B. Tries 0/8 This discussion is closed. Send Feedback

Explanation / Answer

As the vector A- B is parallel to x axis, it means theiry components are equal

B cos (beta) = 4.1 sin 46.7

B cos (beta) = 2.984 (i)

B= 5.364

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X component of A-B

= -(4.1 cos 46.7 + 5.364 sin 56.2)

= - 7.27 cm

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A+B= - 4.1(cos 46.7i+ sin 46.7j)+ 5. 364( sin 56.2i - cos 56.2 j) = 1.646 i - 5.968 j

Magnitude

= 6.19 cm

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Comment in case any doubt . Goodluck

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