Advertisements
Advertisements
Question
Identify the unit vector in the following.
Options
`hati + hatj`
`hati/sqrt2`
`hatk - hatj/sqrt2`
`(hati + hatj)/sqrt2`
Solution
`underline((hati + hatj)/sqrt2)`
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`
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`.
If `overlinea`, `overlineb` and `overlinec` are three non-coplanar vectors then `(overlinea + overlineb + overlinec).[(overlinea + overlineb) xx (overlinea + overlinec)]` = ______
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 a line makes angles 120° and 60° with the positive directions of X and Z axes respectively then the angle made by the line with positive Y-axis is ______.
Check whether the vectors `2hati +2hatj +3hatk,-3hati +3hatj +2hatk and 3hati + 4hatk` From a triangle or not.
