/3 /2 2/3

r 1/2 1 3/2 2

/3 /2 2/3

r 1/2 1 3/2 2

The curve is symmetricabout the x-axis

The Cartesian coordinate (rectangular coordinates) system is right-handed.

The three coordinate planes x = 0, y = 0 and z = 0 dividespace into eight cells called octants.

The octant in which the point coordinates are allpositive is called the first octant;

There is no conventional numbering for the other sevenoctants.

• Some of the things are determinedsimply by their magnitudes. To recordmass, length, or time

• only write down a number and name anappropriate unit of measure.

• more information required to describe aforce, displacement, or velocity.

• We need to record the direction inwhich it acts as well as how large it is.

Find,

• how to calculate the angle between twovectors directly from their components.

• A key part of the calculation is anexpression called the dot product.

• also called inner or scalar productsbecause the product results in a scalar,not a vector. finding the projection of onevector onto another

Torque

When we turn a boltby applying a force Fto a wrench, thetorque we produceacts along the axis ofthe bolt to drive thebolt forward