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Chapter 9: Q. 57 (page 603)

Write the vector v in the form ai+bj, given its magnitude vand the angle 伪 it makes with the positive x-axis.

v=5,伪=60掳

Short Answer

Expert verified

The vector in the standard form is 52i+532j.

Step by step solution

01

Step 1. Given information.

Consider the given question,

v=5,伪=60掳

The vector with magnitude vand the angle 伪is given below,

v=vcos伪i+sin伪j

Here, 伪is the angle between v,i.

02

Step 2. 

The vector with magnitude 5and angle 60掳is given below,

v=5cos60掳i+sin60掳jv=512i+32jv=52i+532j

Therefore, the vector with magnitude 5and angle 60掳is 52i+532j.

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