JEE Advanced2017PhysicsMotion in Two DimensionsActual
Three vectors P → , Q → and R → are shown in the figure. Let, S be any point on the vector R → . The distance between the points P and S is b R → . The general relation among vectors P → , Q → and S → are
Options
- AS → = 1 - b P → + b 2 Q →
- BS → = B - 1 P → + b Q →
- CS → = 1 - b P → + b Q →
- DS → = 1 - b 2 P → + b Q →
Correct answer
C. S → = 1 - b P → + b Q →
Step-by-step solution
Let, vector from point P to point S be C → , ⇒ C → = b R → R ^ = b R → R → R → = b R → = b Q → - P → From triangle rule of vector addition, P → + C → = S → P → + b Q → - P → = S → ⇒ S → = 1 - b P → + b Q →