1) 4√3 2) 6√3 3) 12√3 4) 18√3 Answer: (3) 12√3 Solution: Given, |a|= 2, |b| = 3, |c| = 4 since a ⊥ b and a⊥c, so |a b c| = a. (b x c) =... View Article
1) zero 2) one 3) two 4) three Answer: (3) Two Solution: Given three vectors are coplanar, therefore, λ6 -3λ2 - 2 = 0 (1+λ2)2 (λ2 -2) =... View Article
1) an equilateral triangle 2) an isosceles triangle 3) a right angled triangle 4) collinear Answer: (3) a right angled triangle Solution:... View Article
a) 8 cubic units b) 512 cubic units c) 64 cubic units d) 24 cubic units Answer: (c) 64 cubic units Solution: Given, Volume1 = [a x b, b x... View Article
Answer: (1) 1/√2 cu unit In geometry, a parallelepiped is a three-dimensional figure formed by six parallelograms. Any of the three pairs of... View Article
1) 1 2) 2 3) 3 4) 4 Answer: (1) 1 Solution: Given, i+2j−k,i+j+k,i−j+λk are the edges of tetrahedron and its volume is ⅔ cu.units.... View Article
1) 2 (a × b) 2) a × b 3) a + b 4) None of these Answer: (2) a × b Solution: Say, Vector a = a1i+a2j+a3k Vector b = b1i+b2j+b3k [a b c]i +... View Article
1) 80 2) 120 3) 160 4) 40 Answer: (1) 80 Solution: As per the given condition, Volume of parallelopiped = [a b c] = 40 Now the volume of... View Article
1) 5 cu units 2) 10 cu units 3) 15 cu units 4) 20 cu units Answer: (2) 10 cu. Units Solution: Given, O ≡ (0, 0, 0), A ≡ (2, –2, 1), B ≡ (5,... View Article
1) exactly two values of (p, q) 2) more than two but not all values of (p, q) 3) all values of (p, q) 4) exactly one value of (p, q) Answer:... View Article
1) a, b, c are non- coplanar 2) a, b, d are non- coplanar 3) b, d are non -parallel 4) a, d are parallel and b, c are parallel Answer: (3) b,... View Article
1) b ⊥ c 2) a ⊥ b 3) a || c 4) a ⊥ c Answer: (3) a || c Solution: Given, a, b and c are non-zero. Vectors. For non-zero vectors, we know... View Article
