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If a=i+2j−k, b=2i+j+k and c=5i−4j+3k then find the value of (a+b).c - Mathematics

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If `veca=hati+2hatj-hatk, vecb=2hati+hatj+hatk and vecc=5hati-4hatj+3hatk` then find the value of `(veca+vecb).vec c`

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Solution

`veca=hati+2hatj-hatk, vecb=2hati+hatj+hatk and vecc=5hati-4hatj+3hatk`

`therefore (veca+vecb).vec c`

`=(hati+2hatj-hatk+2hati+hatj+hatk).(5hati-4hatj+3hatk)`

`=(3hati+3hatj).(5hati-4hatj+3hatk)`

=3 x 5+3 x (-4) +0 x 3

=15-12

=3

Concept: Vectors Examples and Solutions
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