x के किस मान के लिए, सदिश `xhati -3hatj + 5hatk` तथा `x(-hati+hatj)+2hatk` परस्पर
लम्ब हैं |

यदि A (-hati + 3hatj + 2hatk) , B (-4hati + 2hatj - 2hatk) तथा C(5hati + (lambda +1)hatj + mu hatk) संरेखीय है तब :

IF the vectors a = hati + hatj + hatk , b = hati - hatj + 2 hatk and c= x hati +(x-2) hatj - hatk are coplanar , then x=

If the vectors bara = hati + hatj + hatk, barb = hati - hatj +2hatk and barc = xhati + (x-2)hatj - hatk are coplanar, then x =

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)

If three points A, B and C have position vectors hati + x hatj + 3 hatk, 3 hati + 4 hatj + 7 hatk and y hati -2hatj - 5 hatk respectively are collinear, then (x, y) =

If three points A, B and C have position vectors hati + x hatj + 3 hatk, 3 hati + 4 hatj + 7 hatk and y hati -2hatj - 5 hatk respectively are collinear, then (x, y) =