- #1
franky2727
- 132
- 0
i get that a unit vector is U/modU but how would it be written for example 8i-4j-8k would it be simply (8i-4j-8k)/144?
Or even better (2/3)i- (1/3)j- (2/3)k :tongue2:CompuChip said:It doesn't matter;
(8i-4j-8k)/12 = (8/12) i - (4/12) j - (8/12) k.
HallsofIvy said:Or even better (2/3)i- (1/3)j- (2/3)k :tongue2:
A unit vector is a vector with a magnitude of 1. It represents the direction of a vector without considering its length or scale.
To write a unit vector, you need to first find the magnitude of the vector. Then, divide each component of the vector by the magnitude to get the unit vector. The resulting vector will have a magnitude of 1.
The notation used for unit vectors is a caret or hat symbol (^) above the vector variable. For example, a unit vector of vector v would be written as âv.
Yes, a unit vector can have negative components. The magnitude of the vector will still be 1, but the direction will be opposite of the positive direction.
Unit vectors are used to represent the direction of a vector in vector operations. They can be multiplied by a scalar to change the magnitude of the vector, or added/subtracted to other vectors to find the resultant vector.