सदिश `(3hati-2hatj+16hatk)` की दिशा में इकाई सदिश ज्ञात कीजिए।

Find a unit vector in the diection of the vector. (i) (3hati + 4hatj - 5hatk) , (ii) (3hati - 2hatj + 6hatk) (iii) (hati + hatk) , (iv) (2hati + hatj + 2hatk)

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Calculate the values of (i) hatj. (2hati - 3hatj +hatk) and (ii) (2hati - hatj) (3hati + hatk)

the vector which is orthogonal to the vector 3hati+2hatj+6hatk and is coplanar with the vectors 2hati+hatj+hatk and hati-hatj+hatk is

The unit vector which is orthogonal to the vector 3hati+2hatj+6hatk and is coplanar with the vectors 2hati+hatj+hatk and hati -hatj+hatk is

Prove that the four points 6 hati - 7hatj, 16hati - 19 hatj - 4hatk, 3hatj - 6hatk and 2hati + 5hatj + 10 hatk form a tetrahedron in spacel.

Prove that the four points 6 hati - 7hatj, 16hati - 19 hatj - 4hatk, 3hatj - 6hatk and 2hati + 5hatj + 10 hatk form a tetrahedron in spacel.

The unit vector which is orhtogonal to the vector 3hati+2hatj+6hatk and is coplanar with vectors 2hati+hatj+hatk and hati-hatj+hatk , is