Home
Class 12
MATHS
The position vectors of four points A,B,...

The position vectors of four points A,B,C and D are `4hati+8hatj+12hatk,2hati+3hati+4hatj+6hatk,3hati+5hatj+4hatk," and "5hati+8hatj+5hatk` respectively. Using vector method prove that the four points A,B,c and D are coplaner.

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2017

    CHHAYA PUBLICATION|Exercise UNIT -5|2 Videos

  • QUESTION PAPER 2017

    CHHAYA PUBLICATION|Exercise UNIT -6|1 Videos

  • QUESTION PAPER 2017

    CHHAYA PUBLICATION|Exercise UNIT -3|21 Videos

  • QUESTION PAPER -2018

    CHHAYA PUBLICATION|Exercise WBJEE|45 Videos

  • QUESTIONS PAPER -2019

    CHHAYA PUBLICATION|Exercise WBJEE 2019|45 Videos

Similar Questions

Explore conceptually related problems

The position vectors of four points A,B,C and D are 4hati+8 hat j+12hatk,2hati+4hatj+6 hatk,3hati+5hatj+4 hat k and 5hati+8 hat j+5 hat k respectively. Using vector method prove that the four points A,B,C and D 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.

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 -

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

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 -

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 -

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

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.

If the position vectors of two given points A and B be 4hati+hatj+2hatk and 2hati-5hatj-hatk respectively, then a unit vector in the direction of vec(AB) is -

Vectors Perpendicular to hati - hatj- hatk and in the plane of hati + hatj + hatk and - hati + hatj + hatk are