एक पिण्ड पर बल `vecF = (4hati + 5hatj)` न्यूटन लगता है | यह बल पिण्ड को `vecs = (3hati + 6hatk)` मीटर विस्थापित करता है | किया गया कार्य है :

If a force vecF=4hati+5hatj causes a displacement vecs=3hati+6hatk work done is

A force vecF = (5 hati + 4 hatj)N acts on a body and produces a displacement vecs = (6 hati - 5 hatj + 3 hatk)m . The work done will be

If vecF = 3hati + 4hatj+5hatk and vecS=6hati +2hatj+5hatk , the find the work done.

If vecF = 3hati - 4hatj+5hatk and vecS=6hati +2hatj+5hatk , the find the work done.

Find the shortest distance between the lines: (i) vec(r) = 6 hat(i) + 2 hat(j) + 2 hatk + lambda (hati - 2hatj + 2 hatk) and vec(r) = - 4 hati - hatk + mu (3 hati - 2 hatj - 2 hatk ) (ii) vec(r) = (4 hat(i) - hat(j)) + lambda (hati + 2hatj - 3 hatk) and vec(r) = (hati - hatj + 2hatk) + mu (2 hati + 4 hatj - 5 hatk ) (iii) vec(r) = (hati + 2 hatj - 4 hatk) + lambda (2 hati + 3 hatj + 6 hatk ) and vec(r) = (3 hati + 3 hatj + 5 hatk) + mu (-2 hati + 3 hatj + 6 hatk )

If a force vecF=5hati+5hatj+6hatk causes a displacement vecs=3hati+6hatj+2hatk work done is