Show that the points with position vectors `5hati+6hatj+7hatk,7hati-8hatj+9hatk` and `3hati+20hatj+5hatk` are collinear.
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The points with position vectors 60hati+3hatj+hatk,40hati-8hatj+hatk, ahati-52hatj+hatk are collinear iff (A) a=-40 (B) a=40 (C) a=20 (D) none of these
Show that the vectors hati-hatj-hatk,2hati+3hatj+hatk and 7hati-2hatj-4hatk are coplanar.
Find the value of a so that the four points with position vectors -hatj+hatk,2hati-hatj-hatk,hati+lambdahatj+hatk and 3hatj+3hatk are co-plannar.
The point having position vectors 2hati+3hatj+4hatk,3hati+4hatj+2hatk and 4hati+2hatj+3hatk are the vertices of
Show that the vectors 2hati-3hatj+4hatk and -4hati+6hatj-8hatk are collinear.
Find lambda if the vectors hati-hatj+hatk, 3hati-hatj+2hatk and hati+lambda hatj-3hatk are coplannar.
Show that the four points as position vectors, 4hati+8hatj+12hatk,2hati+4hatj+6hatk,3hati+5hatj+4hatk and 5hati+8hatj+5hatk are coplanar.
Show that the vectors 2hati-3hatj+4hatkand-4hati+6hatj-8hatk are collinear.
Show that the vectors hati-3hatj+2hatk,2hati-4hatj-hatk and 3hati+2hatj-hatk and linearly independent.
If the vectors 2hati-hatj+hatk,hati+2hatj-3hatk and 3hati+ahatj+5hatk are coplanar, the prove that a=-4.
KUMAR PRAKASHAN-VECTOR ALGEBRA -Practice Paper - 10 (Section-D)
