Calculate vecr=veca-vecb+vecc where veca...

Calculate `vecr=veca-vecb+vecc` where `veca=5hati+4hatj-6hatk, vecb=-2hati+2hatj+3hatk` and `vecc=4hati+3hatj+2hatk`.

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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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Statement 1 : Let A(veca), B(vecb) and C(vecc) be three points such that veca = 2hati +hatk , vecb = 3hati -hatj +3hatk and vecc =-hati +7hatj -5hatk . Then OABC is tetrahedron. Statement 2 : Let A(veca) , B(vecb) and C(vecc) be three points such that vectors veca, vecb and vecc are non-coplanar. Then OABC is a tetrahedron, where O is the origin.

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