1) are collinear 2) form an equilateral triangle 3) form a scalene triangle 4) form a right angled triangle Answer: (2) form an equilateral... View Article
a) 1/√2 (i + j) b) 1/√5 (2i + j) c) +- 1/√2 (i + j) d) None of the these Answer: (a) 1/√2 (i + j) Solution: Given the two vectors i - j and... View Article
1) 4 2) 6 3) 0 4) 1 Answer: (2) 6 Solution: As per the given question, p = Area of quadrilateral OABC = area of ∆OAB + area of ∆OCB = ½... View Article
1) a – b 2) a + b 3) 2a – b 4) 2a + b Answer:(1) a-b Solution: Given, (a+b)×(a×b) =a×(a×b)+b×(a×b) =(a.b)a−(a.a)b+(b.b)a−(b.a)b... View Article
1) inclined at an angle of π/6 between then 2) perpendicular 3) parallel 4) inclined at angle of π/3, between them Answer: (3) parallel... View Article
1) ±1/√2(-j+k) 2) ±1/√3(-i-j-k) 3) ±1/√5(i-2j) 4) ±1/√3(i-j-k) Answer: (1) ±1/√2(-j+k) Solution: Given, c is coplanar with a and b.... View Article
1) 0 2) 1 3) |w| 4) 2 |w| Answer: (2) 1 Solution: Given, u x v + u = w Multiply both sides with vector u → (u x v + u) x u = w x u → (u x... View Article