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Chapter 9: Q. 40 (page 621)

In Problems 39鈥�44, find each quantity if v=3i-5j+2kandw=-2i+3j-2k

3v-2w

Short Answer

Expert verified

The value of 3v-2wis 13i-21j+10k

Step by step solution

01

Step 1. Given

The quantities:

v=3i-5j+2k;w=-2i+3j-2k

To find the given values.

02

Step 2. Multiply the scalars

Multiply the scalars with vectors,

3v-2w=3(3i-5j+2k)-2(-2i+3j-2k)=9i-15j+6k+4i-6j+4k

03

Step 3. Add the common terms.

3v-2w=9i-15j+6k+4i-6j+4k=13i-21j+10k

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