Question

In the sum (vec{A} + vec{B} = vec{C}), vector A has a magnitude of 12 m and is angled 40° counterclockwise from the +x direction, and vector C has magnitude of 15 m and is angled 20° counterclockwise from -x direction. What are the magnitude and the angle (relative to +x direction) of B vector?

Name: In the sum (vecA + vecB = vecC), vector A has a magnitude of 12 m and is angled 40° counterclockwise from the +x direction, and vector C has magnitude of 15 m and is angled 20° counterclockwise from -x direction. What are the magnitude and the angle (relative to +x direction) of B vector?
Uploaded: 2022-09-22T13:51:43-08:00
Duration: 2 min 24 s
Channel: Khoobchandra Agrawal
Description: In the sum (vecA + vecB = vecC), vector A has a magnitude of 12 m and is angled 40° counterclockwise from the +x direction, and vector C has magnitude of 15 m and is angled 20° counterclockwise from -x direction. What are the magnitude and the angle (relative to +x direction) of B vector?

          In the sum (vec{A} + vec{B} = vec{C}), vector A has a magnitude of 12 m and is angled 40° counterclockwise from the +x direction, and vector C has magnitude of 15 m and is angled 20° counterclockwise from -x direction. What are the magnitude and the angle (relative to +x direction) of B vector?

In the sum (vecA + vecB = vecC), vector A has a magnitude of 12 m and is angled 40° counterclockwise from the +x direction, and vector C has magnitude of 15 m and is angled 20° counterclockwise from -x direction. What are the magnitude and the angle (relative to +x direction) of B vector?

Added by Ignacio H.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Khoobchandra Agrawal

09/22/2022

Step 1

Step 1: Write vector B in component form using vector C and vector A: B = C - A B = 15 cos(20°)i - 15 sin(20°)j - 12 cos(40°)i - 12 sin(40°)j B = (15 cos(20°) - 12 cos(40°))i - (15 sin(20°) + 12 sin(40°))j Show more…

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In the sum A + B = C, vector A has a magnitude of 12 m and is angled 40° counterclockwise from the +x direction, and vector C has a magnitude of 15 m and is angled 20° counterclockwise from the -x direction. What are the magnitude and the angle (relative to +x direction) of B vector?