Vectors and Scalars. Adding Vectors A B A+B A B Find B-A = -A + B A B -A-A B -A-A -A+B-A+B B-A =B-A A+(B-A)=B.

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Presentation transcript:

Vectors and Scalars

Adding Vectors A B A+B A B

Find B-A = -A + B A B -A-A B -A-A -A+B-A+B B-A =B-A A+(B-A)=B

Scalar Multiplication -3A is 3 times the length of A, and pointed in the opposite direction ½A is ½ the length of A and in the same direction A -3A ½ A

Equality: Two vectors are equal if and only if they have the same magnitude and direction. Frank drove 14 miles west, then 22 miles east. Where did he end up relative to his starting point? Ex: Judi walked 4.0 miles north, then 3.0 miles east. Find her displacement (distance and direction from her start) using graphical methods. Read pp HW Chap 3: 1,2