Which vectors have the same magnitude

A vector quantity has two characteristics, a magnitude and a direction. When comparing two vector quantities of the same type, you have to compare both the magnitude and the direction. On this slide we show three examples in which two vectors are being compared. Vectors are usually denoted on figures by an arrow. The length of the arrow indicates the magnitude and the tip of the arrow indicates the direction.

The vector is labeled with an alphabetical letter with a line over the top to distinguish it from a scalar. Our web print fonts don't allow for this notation, so we will use a bold letter for a vector. We will be comparing two vectors, a and b. They could be forces, or velocities, or accelerations; it doesn't really matter. Example 1: We have two vectors with the same direction, but the magnitudes or length of the vectors are different.

Vector a does not equal vector b in this example. This example seems pretty simple, because the same rule applies for scalars; if the magnitude is different, the quantities are not equal. An object weighing 50 pounds is not equal to an object weighing 25 pounds. View Full Video Already have an account?

Guilherme B. Problem 20 Easy Difficulty If two vectors have the same magnitude, do their components have to be the same? Answer No. View Answer. Topics Physics Basics. University Physics Volume 1 Chapter 2 Vectors. Discussion You must be signed in to discuss. Liev B. Jared E. University of Winnipeg. Meghan M. McMaster University. Physics Mechanics Bootcamp Lectures Math Review - Intro In mathematics, a proof is….

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