Home
Class 12
MATHS
If the position vectors of A and B are h...

If the position vectors of A and B are `hati+3hatj-7hatk and 5hati-2hatj+4hatk`, then the direction cosine of AB along Y-axis is

Text Solution

Verified by Experts

The correct Answer is:
B
`AB=4hati-5hatj+11hatk`
Direction cosine along Y-axis `=(-5)/(sqrt(16+25+121))=(-5)/(sqrt(162))`
Promotional Banner

Similar Questions

Explore conceptually related problems

If the position vectors of P and Q are (hati+3hatj-7hatk) and (5hati-2hatj+4hatk) , then |PQ| is

If the position vectors of A and B are respectively hati+3hatj-7hatk and 5 hati-2hatj+4hatk , then find AB vector

If the position vectors of P and Q are hati+2hatj-7hatk and 5hati-2hatj+4hatk respectively, the cosine of the angle between PQ and Z-axis is

The position vectors of A and B are 2hati-9hatj-4hatk and 6hati-3hatj+8hatk respectively, then the magnitude of AB is

If the position vectors of the points A and B are hati+3hatj-hatk and 3hati-hatj-3hatk , then what will be the position vector of the mid-point of AB

If ABCD is a parallelogram and the position vectors of A,B and C are hati+3hatj+5hatk, hati+hatj+hatk and 7 hati+7hatj+7hatk , then the position vector of D will be

The position vectors of A and B are hati-hatj+2hatk and 3hati-hatj+3hatk . The position vector of the middle points of the line AB is

The position vectors of P and Q are 5hati+4hatj+ahatk and -hati+2hatj-2hatk , respectively. If the distance betwee them is 7, then the value of a will be

The position vectors of A, B and C are 2hati-hatj+hatk,hati-3hatj-5hatk and x hati-3hatj+hatk respectively in DeltaABC . If angleC=(pi)/(2) then the value of x is ……………..

The position vectors of the points A,B and C are hati+2hatj-hatk,hati+hatj+hatk and 2hati+3hatj+2hatk , respectively. If A is chosen as the origin, then the position vectors of B and C are