Chapter 3 vectors

this is for physics I 235 Mech mot for chapter 3 on vectors

What is a vector?

A vector is a quantity with both a size (magnitude) and direction.

How are vectors added and subtracted?

Vectors are added tip to tail; to subtract vectors, rewrite subtraction as addition using the negative of the vector.

What is a unit vector?

A unit vector is a vector with magnitude 1 and no units, defining directions in space.

What are components of a vector?

Components of vectors are the pieces parallel to the coordinate axes and simplify vector math.

How are components used in vector math?

Components allow for easier algebraic operations with vectors, including addition, subtraction, and multiplication.

How will I use vectors in physics and engineering?

Vectors are crucial in physics and engineering, appearing in applications from velocities to forces.

What is the key property of unit vectors?

Unit vectors simply point in a direction and have a magnitude of 1.

What does C→=2A→+3B→ mean in vector operations?

It expresses that the components of vector C are calculated by multiplying the components of vectors A and B.