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Show that the vectors : 2hati-hatj+hatk,...

Show that the vectors : `2hati-hatj+hatk,hati-3hatj-5hatk` and `3hati-4hatj-4hatk` form the vertices of a right angled triangle.

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Show that the points A(2hati-hatj+hatk), B(hati-3hatj-5hatk), C(3hati-4hatj-4hatk) are the vertices of a right angled triangle.

Show that the points : A(2hati-hatj+hatk),B(hati-3hatj-hatk),C(3hati-4hatj-4hatk) are the vertices of a right-angled triangle.

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

Using vector method, show that the points whose position vectors are , 2hati-hatj+hatk and hati-3hatj-5hatk and 3hati-4hatj-4hatk form a right angled triangle.

Using vector method, show that the points whose position vectors are hati-hatj , 4hati-3hatj+hatk and 2hati-4hatj+5hatk form a right angled triangle.

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

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

Show that the vectors hati-3hatj+2hatk,2hati-4hatj-hatk and 3hati+2hatj-hatk and linearly independent.

If the vectors 6hati-2hatj+3hatk,2hati+3hatj-6hatk and 3hati+6hatj-2hatk form a triangle, then it is