tiny-tim said:Hi NEUhusky! Welcome to PF!
The magnitude of ai + bj is √(a2 + b2) …
show us what you get.
tiny-tim said:ah!
no, 5i + 8j is a point on the perpendicular line …
multiply it by anything, and you'll get more points on the perpendicular line …
choose the correct multiples to get 14.
NEUhusky said:
)A perpendicular vector with a given magnitude is a vector that is perpendicular (or at a right angle) to another vector, and has a specific length or magnitude.
The direction of a perpendicular vector with a given magnitude can be found by first determining the direction of the original vector, and then rotating it 90 degrees in either a clockwise or counterclockwise direction.
The magnitude of a perpendicular vector with a given magnitude will always be equal to the magnitude of the original vector, since they are essentially the same length. However, their directions will be perpendicular to each other.
Perpendicular vectors with a given magnitude can be used in many real-world applications, such as in engineering and physics, to describe the direction of forces or movements. They can also be used in navigation and mapping to determine the direction and distance between two points.
No, a vector cannot have a negative magnitude. Magnitude is a measure of the length of a vector, and length cannot be negative. However, a vector can have a negative direction, which means it is pointing in the opposite direction of a positive vector with the same magnitude.