Prove that the three points whose positi...

Prove that the three points whose positions vectors are `3hati-hatj+2hatk, hati-hatj-3hatk and 4hati-3hatj+hatk` form an isosceles tirangle.

AI Generated Solution

Similar Questions

Explore conceptually related problems

Show that the three points whose position vectors are -3hati+hatj+5hatk, 2hati+3hatk, -13hati+3hatj+9hatk are collinear

Show that vectors 3hati-2hatj+2hatk,hati-3hatj+4hatk and 2hati-hatj-2hatk form a right angled triangle

Prove that the vectgors 2hati-hatj+hatk, hati-3hatj-5hatk and 3hati-4hatj-4hatk form a righat angled triangle.

Show that the vectors a =3hati - 2hatj+hatk, b=hati - 3hatj+5hatk and c=2hati+hatj-4hatk form a right angled triangle.

The point having position vectors 2hati+3hatj+4hatk,3hati+4hatj+2hatk and 4hati+2hatj+3hatk are the vertices of

Prove th the following sets of three points are collinear: 2hati+hatj-hatk, 3hati-2hatj+hatk and hati+4hatj-3hatk

Prove that the vecotos 3hati+5hatj+2hatk, 2hati-3hatj-5hatk and 5hati+2hatj-3hatk form the sides of an equlateral triangle.

Prove that four points position vectors 6hati-7hatj,16hati-19 hatj-4hatk,3hatj-6hatk and 2hati + 5hatj+ 10hatk are not coplanar.

If a=3hati-2hatj+hatk,b=2hati-4hatj-3hatk and c=-hati+2hatj+2hatk , then a+b+c is

Prove that points hati+2hatj-3hatk, 2hati-hatj+hatk and 2hati+5hatj-hatk form a triangle in space.