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
Write the number of vectors of unit length perpendicular to both the vectors `veca=2hati+hatj+2hatk and vecb=hatj+hatk`
If `veca=4hati-hatj+hatk` then find a unit vector parallel to the vector `veca+vecb`
Identify the unit vector in the following.
Compare the components for the following vector equations
(a) `"T"hatj - "mg"hatj = "ma"hatj`
(b) `vecT + vecF = vecA + vecB`
(c) `vecT - vecF = vecA - vecB`
(d) `"T"hatj + "mg"hatj = "ma"hatj`
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 ______.
Check whether the vectors `2hati + 2hatj +3hatk, -3hati +3hatj +2hatk` and `3hati +4hatk` form a triangle or not.
Shown below is a cuboid. Find `vec(BA).vec(BC)`.

Check whether the vectors `2hati + 2hatj + 3hatk , -3hati + 3hatj + 2hatk and 3hati + 4hatk` form a triangle or not.
