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Question
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`
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