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A parallelepiped is formed by planes drawn parallel to coordinate axes through the points A=1,2,3 and B=9,8,5. The volume of that parallelepiped is equal to (in cubic units)

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Important Questions on Vector Algebra

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If αa×b+βb×c+γ c×a=0, then
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Let  v=2i^+j^+k^ and w=i^+3k^. If  u is a unit vector, then the maximum value of the scalar triple product u v w is
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Let a, b, c are three vectors along the adjacent edges of a tetrahedron, if |a|=|b|=|c|=2 and a. b=b. c=c. a=2, then volume of tetrahedron is
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Given that, the vectors α and β are non-collinear. The values of x and y for which u-v=w holds true, if u=2xα+yβ, v=2yα+3xβ and w=2α-5β are
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If p and q are non-collinear, non-zero vectors and b-cp×q+c-ap+a-bq=0 where a,b,c are the lengths of the sides of a triangle, then triangle is
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Three vectors a, b and c are such that a=1, b=2, c=4 and a+b+c=0. Then, the value of 4a·b+3b·c+3c·a is equal to
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If P, Q, R are the mid-points of the sides AB, BC, CA, respectively of a ΔABC and a, p, q are the position vector of A, P, Q, respectively, then what is the position vector of R?
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If a, b, c are non-coplanar vectors and λ is a real number, then the vectors a+2b+3c, λb+4c and 2λ-1c are non-coplanar for