Vector Addition Using Trig

If two vectors to be added are at right angles, you will need to....

• Multiply

• Divide

• Pythagorean Theorem

• Use trigonometry

A resultant vector is

• equal to the sum of one vector.

• equal to the sum of two or more vectors.

• equal to the difference of one vector.

A vector includes ______ and ________.

• direction, magnitude

• magnitude, units

• direction, units

• scalars, scalars

What is the magnitude of the resultant vector, r?

• 3

• 4

• 5

• 7

Which of the following describes the vector above?

• 45 cm

• 45 cm at 30 degrees North of East

• 45 cm at 30 degrees East of North

• 45 cm North East

If vector A has an y component of 12 units and a x component of 7 units, which would allow you to solve for the MAGNITUDE of vector A?

• $\sqrt{12^2-7^2}$

• $\sqrt{12^2+7^2}$
  

• $\tan^{-1}\left(\frac{12}{7}\right)$
  

• $\tan^{-1}\left(\frac{7}{12}\right)$
  

If vector A has an y component of 12 units and a x component of 7 units, which would allow you to solve for the DIRECTION of vector A?

• $\sqrt{12^2-7^2}$

• $\sqrt{12^2+7^2}$
  

• $\tan^{-1}\left(\frac{12}{7}\right)$
  

• $\tan^{-1}\left(\frac{7}{12}\right)$
  

What is the resultant for the following example?

(Part of the work is done, but not all)

• 24.6 km at 27 degrees north of east

• 24.6 km at 63 degrees north of east

• 33 km at 27 degrees north of east

• 33 km at 63 degrees north of east

What is the resultant of these two vectors?

• +17 m

• +3 m

• -17 m

• -3 m

What is the resultant vector of the two labeled vectors?

• +2 km

• +14 km

• -2 km

• -14 km