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### Course: Precalculus>Unit 6

Lesson 1: Vectors introduction

Vector quantities have both a magnitude and a direction. In this example, we interpret a mathematical statement about two vector quantities in terms of the real-world quantities they represent. Created by Sal Khan.

## Want to join the conversation?

• Does this ||a||=||b|| not mean its the same velocity? How is it different from a=b. Shouldn't the answer be A?
• ||a||=||b|| means the magnitude of a = the magnitude of b. But a=b means the magnitude and the direction of a = the magnitude and the direction of b. And so, the answer is B as their magnitudes are the same but not necessarily their direction. Hope that helps.
• Wait at he says it doesn't have to have the same direction, But then what does the arrows on top of the letters mean?
• I think you probably write the arrow pointing right no matter what the direction of the vector is, just to show that you're referring to a vector.
• then how can we represent the option C in a mathematical manner?

before checking the answer, i assumed |vector A| = |vector B| might say same magnitude different directions (same as in the case of scalars), while ||vector A|| = ||vector B|| saying different magnitudes same direction

i googled it real quick but found nothing yet