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Chapter 6: Problem 5

In order to show that two vectors are equivalent, you must show that they have the same ________ and the same ________ .

Short Answer

Expert verified
The blanks in the sentence should be filled as - 'magnitude' and 'direction'.

Step by step solution

01

Understand Vector Equality

A vector in physics is represented by both magnitude (the length of the vector) and direction. The first component of vector equality is the magnitude, which is the length or size of the vector. It shows 'how much' of the quantity the vector represents is present.
02

Determine the Second Component

The second component of vector equality is direction. The vectors not only needs to have the same magnitude, they also need to point in the same direction. Therefore, the direction of the vector is the second crucial component required for two vectors to be equivalent.
03

Fill in the Blanks

So, to make two vectors equivalent, they must have the same magnitude (which is the first blank), and the same direction (which fills the second blank).

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