Show that the points A(-2hati+3hatj+5hat...

Show that the points `A(-2hati+3hatj+5hatk),B(hati+2hatj+3hatk)andC(7hati-hatk)` are collinear.

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Explore conceptually related problems

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

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

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

Show that the points with position vectors 5hati+6hatj+7hatk,7hati-8hatj+9hatk and 3hati+20hatj+5hatk are collinear.

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 2hati-3hatj+4hatkand-4hati+6hatj-8hatk are collinear.

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

The value of n so that vectors 2hati+3hatj-2hatk, 5hati+nhatj+hatk and -hati+2hatj+3hatk may be coplanar.will be

Show that the vectors 2hati-3hatj+4hatk and -4hati+6hatj-8hatk are collinear.

The value of lamda for which the four points 2hati+3hatj-hatk,hati+2hatj+3hatk,3hati+4hatj-2hatk and hati-lamdahatj+6hatk are coplanar.

KUMAR PRAKASHAN-VECTOR ALGEBRA -Textbook Illustrations for Practive Work

Find |vec(a)-vec(b)|, if two vectors vec(a) and vec(b) are such that |...
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If vec(a)is a unit vector and (vec(x)-vec(a)).(vec(x)+vec(a))=8 then f...
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For any two vectors vecaandvecb , we always have |veca*vecb|le|veca||v...
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For any two vectors vec(a) and vec(b), we always have |vec(a)+vec(b)|l...
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Show that the points A(-2hati+3hatj+5hatk),B(hati+2hatj+3hatk)andC(7ha...
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Find |vecaxxvecb|, if veca=2hati+hatj+3hatk and vecb=3hati+5hatj-2hatk
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Find a unit vector perpendicualr to each of the vectors (vec(a)+vec(b)...
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Find the area of atriangle having the points A(1,1,1), B (1,2,3) and C...
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Find the area of a parallelogram whose adjacent sides are given by the...
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If vec(a)=2hati+hatj+3hatk,vec(b)=-hati+2hatj+hatk and vec( c )=3hati+...
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Show that the vectors vec(a)=hati-2hatj+3hatk,vec(b)=-2hati+3hatj-4hat...
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If the vectors vec(a)=hati+3hatj+hatk,vec(b)=2hati-hatj-hatk and vec( ...
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If 4hati+5hatj+hatk,-(hatj+hatk),3hati+9hatj+4hatk and 4(-hati+hatj+ha...
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Prove that [vec(a)+vec(b), vec(b)+vec( c ), vec( c )+vec(a)]=2[vec(a)...
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Prove that [vec(a),vec(b),vec( c )+vec(d)]=[vec(a),vec(b),vec( c )]+[v...
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Write all the unit vectors in XY-plane.
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If hati+hatj+hatk,2hati+5hatj,3hati+2hatj-3hatk and hati-6hatj-hatk ar...
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Let vec(a),vec(b) and vec( c ) be three vectors such that |vec(a)|=3,|...
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Three vectors vec(a),vec(b) and vec( c ) satisfy the condition vec(a...
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If with reference to the right handed system of mutually perpendicular...
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