class 051019

How many letters are there in your first name?

How many letters are there in your first, middle and last name.

If the magnitude of a vector is equal to the number of letters in your first name, and that vector makes a counterclockwise angle with the positive x axis which is equal in degrees to the number of letters in your entire name, then

• Sketch that vector on a coordinate plane
• Sketch the x and y components of that vector and estimate each to the nearest whole number
• Calculate the x and y components of that vector.

Sketch a vector whose x component is equal to the negative of the number of letters in your first name, and whose y component is equal to the number of letters in your last name.

• What is the magnitude of this vector?
• What angle does this vector make with the positive x axis, as measured in the counterclockwise direction from that axis?

Sketch a third second vector whose magnitude is equal to the number of letters in your last name, in the third quadrant and making an angle with the negative y axis equal to the number of letters in your full name.

• What is the angle of this vector as measured counterclockwise from the positive x axis?
• Sketch the x and y components of this vector and estimate each to the nearest whole number
• Calculate the x and y components of this vector.