6). If vec P Q=3 hat i+2 hat j- hat k ...

6). If ` vec P Q=3 hat i+2 hat j- hat k` and the coordinates of `P` are `(1,-1,2),` find the coordinates of `Qdot` (7). prove that the points `hati-hatj,4hati-3hatj+hatk,2hati-4hatj+5hatk` are the vertices of a right angled triangle.

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Prove that the points hati-hatj, 4hati-3hatj+ hatk and 2hati-4hatj+5hatk are the vertices of 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 vectors 3hati-2hatj+2hatk,hati-3hatj+4hatk and 2hati-hatj-2hatk form a right angled triangle

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

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

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

Using dot product of vectors show that the vectors 2hati-hatj+hatk, hati-3hatj-5hatk and 3hati-4hatj-4hatk form a righat angled triangle

Show that the vectors hati-hatj-hatk,2hati+3hatj+hatk and 7hati+3hatj-4hatk are coplanar.

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

Prove that the following vectors are at righat angle: 2hati-hatj+hatk ,hati-3hatj+5hatk

RD SHARMA ENGLISH-ALGEBRA OF VECTORS-All Questions

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