In a ΔABC, ∠A+∠B=120∘,a=3+1,b=3−1, then the ratio of ∠A to ∠B is (a) 7:1 (b) 5:1 (c) 3:1 (d) 5:3
Consider two points P and Q with position vectors →OP=3→a−2→band →OQ=→a+→bFind the position vector of a point R which divides the line joining P and Q in the ratio 2:1, (i) internally, and (ii) externally.
Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are 2(a+b)and (a−3b)externally in the ratio 1 : 2. Also, show that P is the mid point of the line segment RQ
If θ is the angle between two vectors aand b, then a⋅b≥0only when
(A) 0<θ<2π (B) 0≤θ≤2π (C) 0<θ<π (D) 0
Let a,band cbe three vectors such that ∣a∣=3,∣∣b∣∣=4,∣c∣=5and each one of them being perpendicular to the sum of the other two, find ∣∣a+b+c∣∣.