/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 62 Write the vector v in the form a... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

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

v=15α=315o

Short Answer

Expert verified

The vector v can be written as 1522i−1522j.

Step by step solution

01

Step 1. Given information 

We have been given:

v=15α=315o

We have to write it in ai+bj form.

02

Step 2. Substitute the values in v=v(cosαi+sinαj).

v=15cos315∘i+sin315∘jv=15⋅22i−22jv=1522i−1522j

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