1) the harmonic mean of a and b 2) equal to zero 3) the arithmetic mean of a and b 4) the geometric mean of a and b Answer: (4) the geometric... View Article
1) neither x nor y 2) both x and y 3) only x 4) only y Answer: (1) neither x nor y Solution: a=i−k,b=xi+j+(1−x)k and c=yi+xj+(1+x−y)k... View Article
1) 4 2) 2/3 3) 1/6 4) â…“ Answer: (2) â…” Solution: Given the edges of tetrahedron are i+j+k, i-j+k and i+2j-k. Volume of tetrahedron = [i+j+k... View Article
1) 2 2) 4 3) 6 4) 8 Answer: (2) 4 Solution: Given the three vectors 2i+j+k, 6i-j+2k and 14i-5j+pk are collinear. Thus, the determinant of... View Article
1) exactly two values of λ 2) exactly three values of λ 3) no real value of λ 4) exactly one value of λ Answer: (3) No real value of λ... View Article
1) 0 2) 1 3) 2 4) –1 Answer: (4) -1 Solution: As per the given condition, vectors a,b and c are non-coplanar vectors. Therefore, [a b c] ≠... View Article