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Show that the points whose position vect...

Show that the points whose position vectors `4hati + 5hatj + hatk, -hatj -hatk, 3hati + 9hatj + 4hatk` and `-4hati + 4hatj + 4hatk` are coplanar.

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The correct Answer is:
(a) `x- (sin^(-1) x) (sqrt(1-x^(2))) +c`
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Show that the points whose position vectors 4hat(i)+5hatj+hatk,-hatj-hatk,3hati+9hatj+4hatk and -4hati+4hatj+4hatk are coplanar.

Show that the points whose positions vectors 4hati-3hatj+hatk,2hati-4hatj+5hatk,hati-hatj from a right angled triangle.

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

Prove that the points whose position vectors 2hati+4hatj+3hatk,4hati+hatj+9hatk and 10hati-hatj+6hatk form a right angled triangle.

The value of [hati - hatj , hatj - hatk, hatk - hati] is :

The volume of the tetrahedronwhose vertices are the points with position vectors hati-6hatj+10hatk, -hati-3hatj+7hatk, 5hati-hatj+lamdahatk and 7hati-4hatj+7hatk is 11 cubic units then the value of lamda is (A) 7 (B) 1 (C) -7 (D) -1