Show that the points whose position vect...

Show that the points whose position vectors are `vec(a) + 2vec(b) + 5vec(c), 3vec(a) + 2vec(b) + vec(c), 2vec(a) + 2vec(b) + 3vec(c)` are colliner.

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vec a * {(vec b + vec c) xx (vec a + 2vec b + 3vec c)} = [vec with bvec c]

[vec a xx (3vec b + 2vec c), vec b xx (vec c-2vec a), 2vec c xx (vec a-3vec b)]

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MOTION-VECTOR -EXERCISE - 4 ( LEVEL-II)

Show that the points whose position vectors are vec(a) + 2vec(b) + 5v...
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If the vectors veca,vecb,vecc form the sides BC,CA and AB respectively...
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Let the vectors veca, vecb,vecc and vecd be such that (vecaxxvecb)xx(v...
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If veca, vecb and vecc are unit coplanar vectors, then the scalar trip...
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If veca =hati + hatj-hatk, vecb = - hati = - hati + 2hatj + 2hatk and ...
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Given that vectors veca and vecb asre perpendicular to each other, fin...
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If veca, vecb and vecc are three unit vectors such that veca xx (vecb ...
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The diagonals of a parallelogram are given by vectors 2hati+3hatj-6hat...
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Find the all the values of lamda such that (x,y,z)!=(0,0,0)and x(hati+...
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Two vertices of a triangle are at -hati+3hatj and 2hati+5hatj and its ...
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If veca, vecb, vecc are unit vectors, then |veca-vecb|^2+|vecb-vec|^2+...
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Let veca=hati-hatk, vecb=xhati+hatj+(1-x)hatk and vecc=yhati+xhatj+(1+...
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Let vec A(t) = f1(t) hat i + f2(t) hat j and vec B(t) = g(t)hat i+g2(...
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If veca and vecb are two unit vectors such that veca+2vecb and 5veca-4...
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Let vecV=2hati+hatj-hatk and vecW=hati+3hatk. It vecU is a unit vector...
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The value of a so that the volume of the paralelopiped formed by hati+...
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A unit vector int eh plane of the vectors 2hati+hatj+hatk, hati-hatj+h...
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If veca=veci+vecj+veck, veca.vecb=1 and vecaxxvecb=vecj-veck, then vec...
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If veca,vecb,vecc,vecd are four distinct vectors satisfying the condit...
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Let veca=hati + 2hatj +hatk, vecb=hati - hatj +hatk andvecc= hathatj-h...
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Let vecA be a vector parallel to the of intersection of planes P1 and ...
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