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

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

Text Solution

Verified by Experts

Let O be the origin, then we have
`OA=hati+3hatj-7hatk`
and `OB=5hati-2hatj+4hatk`
Now, `AB=OB-OA=(5hati-2hatj+4hatk)-(hati+3hatj-7hatk)`
`=4hati-5hatj+11hatk`
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise For Session 1|7 Videos

  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise For Session 2|17 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|19 Videos

Similar Questions

Explore conceptually related problems

If the position vectors of P and Q be respectively hati+3hatj-7hatk and 5hati-2hatj+4hatk and vec(PQ)

If the positin vector of P and Q be respectively hati+3hatj-7hatk and 5hati-2hastj+4hatk find vec(PQ)

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

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

If the position vectors of P and Q are hati+2hatj-7hatk and 5hati-3hatj+4hatk respectively, the cosine of the angle between vec(PQ) and z-axis 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 vectors of the mid point of AB

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

The position vectors of points A and B are hati+3hatj-7 hatk and 5hati-2hatj+4hatk respectively, then the direction cosine of bar(AB) along Y-axis is