The vector are not perpendicular and are two vectors satisfying: The vector is equal to
The circle x2+ y2 = 4x + 8y + 5 intersects the line 3x – 4y = m at two distinct points if
-85 < m < -35
-35 < m < 15
15 < m < 65
15 < m < 65
Let and . Then, the vector b satisfying a x b + c = 0 and a.b = 3
A.
a x b +c = 0
⇒ a x (a x b) + a x c = 0
⇒ (a.b)a-(a.a)b +a x c = 0
⇒ 3a - 2b + a x c = 0
⇒ 2b = 3a +a x c
If the vectors are mutually orthogonal, then (λ,μ) is equal to
(-3,2)
(2,-3)
(-2,3)
(-2,3)
If are non–coplanar vectors and p, q are real numbers, then the equality holds for
exactly one value of (p, q)
exactly two values of (p, q)
more than two but not all values of (p, q)
more than two but not all values of (p, q)
The vector lies in the plane of the vectors and bisects the angle between .Then which one of the following gives possible values of α and β?
α = 2, β = 2
α = 1, β = 2
α = 2, β = 1
α = 2, β = 1