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(a) Calculate vecr=veca-vecb+vecc where ...

(a) Calculate `vecr=veca-vecb+vecc` where `veca=5hati+4hatj-6hatk, vecb=-2hati+2hatj+3hatk` and `vecc=4hati+3hatj+2hatk`.
(b) Calculate the angle between `vecr` and the z-axis .
(c) Find the angle between `veca " and " vecb`

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The correct Answer is:
(a) `11hati+5hatj-7hatk`,(b) `cos^(-1)""((-7)/(sqrt(195)))`, (c) `cos^(-1)""((-20)/(sqrt(1309)))`
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