Home
Class 12
MATHS
The position vectors of the vertices A,B...

The position vectors of the vertices A,B,C of the triangle ABC are `(hati+hatj+hatk),(hati+5hatj-hatk)` and `(2hati+3hatj+5hatk)` respectively. Find the greatest angle of the triangle.

Text Solution

Verified by Experts

The correct Answer is:
`(pi)/(2)`
Promotional Banner

Similar Questions

Explore conceptually related problems

The position vectors of points A,B and C are hati+hatj+hatk,hati + 5hatj -hatk and 2hati + 3hatj + 5hatk , respectively the greatest angle of triangle ABC is

The position vectors of the points A, B, C are (hati-3hatj-5hatk),(2hati-hatj+hatk) and (3hati-4hatj-4hatk) respectively. Then A, B, C form a/an -

The position vectors of the three vertices of a triangle are (-hati-3hatj+2hatk), (5hati+7hatj-5hatk) and (2hati+5hatj+6hatk) , then the position vector of the point of intersection of the medians of the triangle is -

The position vectors of the points A, B, C and D are hati+3hatj-hatk, -hati-hatj+hatk, 2hati-3hatj+3hatk and -3hati+2hatj+hatk respectively. Then, the ratio of the moduli of the vectors vec(AB) and vec(CD) is -

If the position vectors of the points A, B, C, D are hati+hatj+hatk, 2hati+5hatj, 3hati +2hatj-3hatk and hati-6hatj-hatk respectively, then the angle between the vectors vec(AB) and vec(CD) is -

Show that the vectors hati -2 hatj+3hatk , -2hati+3hatj-4hatk and hati -3hatj +5hatk are coplanar.

The position vectors of the points A,B,C and D are 6 hati - 7 hatj , 16 hati - 29 hatj - 4 hatk , 3 hati - 6 hatk and 2 hati + 5 hatj + 10 hatk respectively. Show that the points A,B,C and D are non coplanar.

Show that the points A,B and C with position vectors , veca=3hati-4hatj-4hatk,vecb=2hati-hatj+hatkandvecc=hati-3hatj=5hatk ,respectively form the vertices of a right angled triangle.

In a triangle ABC the sides AB and AC are represented by the vectors 3hati+hatj+hatk and hati+2hatj+hatk respectively. Calculate the angle angleABC .

Show that the points A(-2hati+3hatj+5hatk),B(hati+2hatj+3hatk)andC(7hati-hatk) are collinear.