Often a vector is specified by a magnitude and a direction; for example, a rope

Question

Often a vector is specified by a magnitude and a direction; for example, a rope with tension T exerts a force of magnitude T in a direction 35? north of east. This is a good way to think of vectors; however, to calculate results with vectors, it is best to select a coordinate system and manipulate the components of the vectors in that coordinate system.

Find the components of the vector B with length b= 1.00 and angle ?=10.0? with respect to the x axis as shown.

Find the components of the vector C with length c= 1.00 and angle ?= 35.0? as shown.

Explanation / Answer

v = m<cos theta, sin theta>
m is magnitude
for m =1 and theta = 15
v = < cos(15), sin(15) >
v = < 0.965925826, 0.258819045>

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