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Find component of vector A +B along (i) ...

Find component of vector A +B along (i) x-axis, (ii) C. Given `A = hati - 2hatj, B=2hati+3hatk` and `C = hati +hatj`.

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`a+b=(hati-2hatj)+(2hati+3hatk)=3hati- 2hatj+ 3hatk` (i) Component of A+B salong X-axis 3.
(ii) component of A+B=R(say) along C is
`therefore R.C=RCcos theta`
`R cos theta=(R.C)/(C) = ((3hati-2hatj+3hatk).(hati+hatj))/(sqrt((1)^(2)+(1)^(2)))`
`(3-2)/(sqrt(2))=(1)/(sqrt(2))`\
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