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Chapter 9: Q. 58 (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=8,伪=45掳

Short Answer

Expert verified

The vector in the standard form is 42i+42j.

Step by step solution

01

Step 1. Given information.

Consider the given question,

v=8,伪=45掳

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

v=vcos伪i+sin伪j

Here, 伪is the angle betweenv,i.

02

Step 2. Write the vector.

The vector with magnitude 8and angle 45掳is given below,

role="math" localid="1646755598042" v=vcos伪i+sin伪jv=8cos45掳i+sin45掳jv=812i+12jv=42i+42j

Therefore, the vector with magnitude8and angle45掳is42i+42j.

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