वैक्टर के परिणाम के समानांतर इकाई वेक्टर खोजें `vec(A) = hati +4hatj +2hatk`

Find unit vector parallel to the resultant of the vectors vec(A) = hati +4hatj +2hatk and vec(B) = 3hati - 5hatj +hatk .

If vec(a) = hati - 2hatj - 3hatk, vec(b) = 2 hati - hatj - hatk and vec(c) = hati +3 hatj - 2hatk find (vec(a) xx vec(b)) xx vec(c)

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) .

Find a unit vector perpendicular the vectors vec(A) = 4 hati = hatj +3 hatk and vec(B) =- 2hati + hatj - 2hatk .

If vec(A) = hati + 3hatj + 2hatk and vec(B) = 3hati + hatj + 2hatk , then find the vector product vec(A) xx vec(B) .

Find the sine of the angle between the vectors vec(A) = 3 hati - 4hatj +5hatk and vec(B) = hati - hatj +hatk .

In a Delta ABC, if vec(AB) = 3 hati + 4 hatk, vec(AC) = 5 hati + 2 hatj + 4hatk , then the length of median through A , is

Determine the vector which when added to the resultant of vec(A) =2hati - 4hatj - 6hatk and vec(B) = 4hati +3hatj + 3hatk gives the unit vector along z-axis.

Find the angle between the vectors vec(A) = 2 hati - 4hatj +6 hatk and vec(B) = 3 hati + hatj +2hatk .