Advertisements
Advertisements
Question
How do you deduce that two vectors are perpendicular?
Advertisements
Solution
If two vectors `vecA` and `vecB` are perpendicular to each other then their scalar product `vecA` `vecB` = 0 because cos 90° = 0. Then the vectors `vecA` and `vecB` are said to be mutually orthogonal.
APPEARS IN
RELATED QUESTIONS
For given vectors, `veca = 2hati - hatj + 2hatk` and `vecb = -hati + hatj - hatk`, find the unit vector in the direction of the vector `veca +vecb`.
Find a vector in the direction of vector `5hati - hatj +2hatk` which has a magnitude of 8 units.
Show that the direction cosines of a vector equally inclined to the axes OX, OY, and OZ are `pm1/sqrt3, 1/sqrt3, 1/sqrt3`.
The position vector particle has a length of 1m and makes 30° with the x-axis. What are the lengths of the x and y components of the position vector?
If `overline(a),overline(b),overline(c)` are non-coplanar vectors and λ is a real number then `[lambda(overline(a)+overline(b))lambda^2overline(b) lambda overline(c)]=[overline(a) overline(b)+overline(c) overline(b)]` for ______.
If the horizontal and vertical components of a force are negative, then that force is acting in between
Unit vector perpendicular to the plane of the triangle ABC with position vectors `veca, vecb, vecc` of the vertices A, B, C is ______.
If `4hati - 5hatj + hatk, 2hati + 3hatj + 3hatk` and `xhati + yhatj + zhatk` represent the sides AB, BC and AC respectively of a triangle ABC, then find x, y, z.
Check whether the vectors `2hati + 2hatj +3hatk, -3hati +3hatj +2hatk` and `3hati +4hatk` form a triangle or not.
Check whether the vectors `2hati + 2hatj + 3hatk , -3hati + 3hatj + 2hatk and 3hati + 4hatk` form a triangle or not.
