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Chapter 9: Q. 32 (page 630)

Use the vectors v=-2i+jand w=4i-3jto find:

role="math" localid="1646890297789" 4v-3w

Short Answer

Expert verified

鈭�20i+13j

Step by step solution

01

Step 1. Given information

We have to find the value of 4v-3wusing :

v=-2i+jw=4i-3j

02

Step 2. Find the value

We have,

4v鈭�3w=4(鈭�2i+j)鈭�3(4i鈭�3j)

Using the distributive property :

4v鈭�3w=4(鈭�2i+j)鈭�3(4i鈭�3j)=鈭�8i+4j鈭�12i+9j

Group similar terms :

(鈭�8i鈭�12i)+(4j+9j)=鈭�20i+13j

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