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If a=4i-j+K Then Find a Unit Vector Parallel to the Vector A+B - Mathematics

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If `veca=4hati-hatj+hatk` then find a unit vector parallel to the vector `veca+vecb`

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Solution

`veca=4hati-hatj+hatk,`

`veca+vecb=(4hati-hatj+hatk)+(2hati-2hatj+hatk)`

`=6hati-3hatj+2hatk`

unit vector parallel to `(veca+vecb)=(veca+vecb)/(|veca+vecb|)`

`=(6hati-3hatj+2hatk)/sqrt(36+9+4)`

`=(6hati-3hatj+2hatk)/sqrt49`

 `=6/7hati-3/7hatj+2/7hatk`

Concept: Components of a Vector
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