Find the position vector of the foot of perpendicular and the perpendicular distance from the point P with position vector
`2hati+3hatj+4hatk` to the plane `vecr` . `(2hati+hatj+3hatk)−26=0` . Also find image of P in the plane.
Find the direction cosines of the vector joining the points A (1, 2, –3) and B (–1, –2, 1) directed from A to B.
If θ is the angle between two vectors `veca` and `vecb`, then `veca.vecb >= 0` only when
(A) `0 < theta < pi/2`
(B) `0 <= theta <= pi/2`
(C) `0 < theta < pi`
(D) `0 <= theta <= pi`
Classify the following as scalar and vector quantities.
(i) time period
(v) work done
Find the position vector of a point which divides the join of points with position vectors `veca-2vecb" and "2veca+vecb`externally in the ratio 2 : 1
- Position Vector
undefined video tutorial00:27:13
- Vector Algebra part 4 (Direction Angle, Direction cosine)
undefined video tutorial00:08:57
- Direction cosine and Direction ratio
undefined video tutorial00:26:35
- Vector Algebra part 3 (Position Vector)
undefined video tutorial00:08:15