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VK JAISWAL-VECTOR & 3DIMENSIONAL GEOMETRY-Exercise-5 : Subjective Type Problems
- The vectors vec(AB)=3hati+4hatk and vec(AC)=5hati-2hatj+4hatk are the ...
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- A straight line L intersects perpendicularly both the lines : (x+2)/...
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- If hata, hatb and hatc are non-coplanar unti vectors such that [hata ...
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- Let OA, OB, OC be coterminous edges of a cubboid. If l, m, n be the sh...
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- Let OABC be a tetrahedron whose edges are of unit length. If vec OA = ...
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- Let vec v(0) be a fixed vector and vecv(0)=[(1)/(0)]. Then for n ge ...
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- If a is the matrix [(1,-3),(-1,1)], then A-(1)/(3)A^(2)+(1)/(9)A^(3)……...
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- A sequence of 2xx2 matrices {M(n)} is defined as follows M(n)=[((1)/(...
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- Let |veca|=1, |vecb|=1 and |veca+vecb|=sqrt(3). If vec c be a vector ...
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- Let vecr=(veca xx vecb)sinx+(vecb xx vec c)cosy+2(vec c xx vec a), whe...
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- The plane denoted by P1 : 4x+7y+4z+81=0 is rotated through a right ang...
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- ABCD is a regular tetrahedron, A is the origin and B lies on x-axis. A...
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- If veca and vecb are non zero, non collinear vectors and veca(1)=lamb...
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- Let P and Q are two points on curve y=log((1)/(2))(x-(1)/(2))+log(2) s...
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- In above problem find the largest possible value of |vec(PQ)|.
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- If a, b, c, l, m, n in R-{0} such that al+bm+cn=0, bl+cm+an=0, cl+am+b...
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- Let vec ua n d vec v be unit vectors such that vec uxx vec v+ vec u=...
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