सदिश `2 hati- hatj + 5 hatk` कि दिशा में एकांक सदिश ज्ञात कीजिए ।

The shortest distance between the lines r = ( - hati - hatj - hatk ) + lamda ( 7 hati - 6 hatj + hatk ) and r = ( 3 hati + 5 hatj + 7 hatk ) + mu ( hati - 2 hatj + hatk )

प्रश्न|अदिश राशि व सदिश राशि में अंतर |सदिश |एकांक सदिश |सदिशो के योग के नियम |OMR|Summary

Value of a for which 2 hati - hatj+1hatk , hati + 2 hatj - 3 hatk and 3 hati + a hatj + 5 hatk are coplanar is :

Find the angle between the following pairs of lines : (i) vec(r) = 2 hati - 5 hatj + hatk + lambda (3 hati + 2 hatj + 6 hatk ) and vec(r) = 7 hati - 6 hatk + mu (hati + 2 hatj + 2 hatk) (ii) vec(r) = 3 hati + hatj - 2 hatk + lambda (hati - hatj - 2 hatk ) and vec(r) = 2 hati - hatj - 56 hatk + mu (3 hati - 5 hatj - 4 hatk) .

The three vectors 7 hati - 11 hatj + hatk, 5 hati + 3 hatj - 2 hatk, 12 hati - 8 hatj- hatk from :

सदिश |प्रति समांतर सदिश |ऋणात्मक या विपरीत सदिश |सह प्रारम्भिक सदिश |सरेखीय सदिश |समतलीय सदिश |समांगी सदिश |शून्य सदिश |एकांक सदिश |सदिश का निरूपण |सदिशों को घटकों मे तोड़ना |OMR|Summary

The vectors hati + 2 hatj + 3 hatk, lamda hati+ 4 hatj + 7 hatk,-3 hati - 2 hatj - 5 hatk are collinear if lamda is :

Find the value of p, if the vectors hati - 2hatj + hatk , 2hati - 5hatj + phatk and 5hati - 9hatj + 4hatk are coplanar .