Show that the vectors vec(a)=hati-2hatj+...

Show that the vectors `vec(a)=hati-2hatj+3hatk,vec(b)=-2hati+3hatj-4hatk` and `vec( c )=hati-hatj+5hatk` are coplannar.

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Show that the vectors, vec(a)=hati-2hatj+3hatk,vec(b)=-2hati+3hatj-4hatk and vec( c )=hati-3hatj+5hatk are coplanar.

If the vectors vec(a)=hati+3hatj+hatk,vec(b)=2hati-hatj-hatk and vec( c )=lambda hati+7hatj+3hatk are coplannar then find lambda .

Find the area of the triangle formed by the tips of the vectors vec(a) = hati - hatj - 3hatk, vec(b) = 4hati - 3hatj +hatk and vec(c) = 3 hati - hatj +2 hatk .

Show that the points A, B and C with position vectors, vec(a)=3hati-4hatj-4hatk,vec(b)=2hati-hatj+hatk and vec( c )=hati-3hatj-5hatk , respectively form the vertices of a right angled triangle.

Find [vec(a)vec(b)vec( c )] if vec(a)=hati-2hatj+3hatk,vec(b)=2hati-3hatj+hatk and vec( c )=3hati+hatj-2hatk .

if three vectors are veca=-3hati+2hatj-hatk, vecb=hati-3hatj+5hatk and vecc=2hati+hatj-4hatk then find a-b-c is

If vec(a)=2hati+hatj+3hatk,vec(b)=-hati+2hatj+hatk and vec( c )=3hati+hatj+2hatk then find vec(a).(vec(b)xx vec( c )) .

If a=3hati-2hatj+hatk,b=2hati-4hatj-3hatk and c=-hati+2hatj+2hatk , then a+b+c is

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

vec(a)=2hati-10hatj+2hatk,vec(b)=3hati+hatj+2hatk and vec( c )=2hati+hatj+3hatk then find vec(a)xx(vec(b)xxvec( c )) .

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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