Home
Class 11
MATHS
The values of a for which the points A,B...

The values of `a` for which the points `A,B,C` with position vectors `2veci-vecj+veck, veci-3vecj-5veck` and `aveci-3vecj+veck` are the vertices of a right angled triangle with `/_C=pi/2` are

Promotional Banner

Similar Questions

Explore conceptually related problems

Show that the points A, B and C with position vectors, veca=3veci-4vecj-4veck, vecb=2veci-vecj+veck, vecc=veci-3vecj-5veck , respectively form the vertices of a right angled triangle.

Show that the points whose position vectors are 2veci+3vecj-5veck,3veci+vecj-2veck and 6veci-5vecj+7veck are collinear.

Show that the points whose position vectors are veci -2vecj+3veck , 2veci+3vecj-4veck , and -7vecj +10veck are collinear.

Show that the points 3veci +4vecj+2veck , 9veci+vecj+4veck , and 6veci-vecj -10veck form a right angled triangle.

Show that the points whose position vectors are 4veci +5vecj+6veck , 5veci+6vecj+4veck , and 6veci+4vecj +5veck form an equilateral triangle.

Prove that the vectors vec(a)=2veci-vecj+veck,vecb=veci-3vecj-5veck and vecc=3veci-4vecj-4veck are coplanar.

Show that the vectors veci-3vecj+2veck, 2veci -4vecj-veck and 3veci+2vecj-veck are linearly independent.

Show that the vectors 2veci-3vecj+4veck, -4veci+6vecj-8veck are collinear.

Show that the points whose position vectors are 4veci +5vecj+veck , -vecj-veck , and 3veci+9vecj +4veck and -4veci+4vecj+4veck are co planar.