Section 6.3: Vectors

Component Form

• < -7, -3 >

• < 3, -7 >

• < 5, 3 >

• < 7, 3 >

Determine the components of a vector with magnitude = 12 and direction angle = 125 degrees [round to nearest tenth]

• < -9.9, 6.9 >

• < 9.9, -6.9 >

• < -6.9, 9.8 >

• < 6.9, -9.8 >

Determine the direction angle of 8i - 2j.

• about 346 degrees

• about 284 degrees

• about 351 degrees

• about 166 degrees

Determine the direction angle of vector < -1, 3 >

• about 116 degrees

• about 162 degrees

• about 150 degrees

• about 108 degrees

Which statement describes a vector?

• It has magnitude but no direction
• It has direction but no magnitude
• It has both direction and magnitude
• It has constant magnitude but no
   direction

Tags

CCSS.HSN.VM.A.1

Find the unit vector in the same direction as v.

• < -5/119, -12/119 >

• < -5/169, -12/169 >

• < 5/13, 12/13 >

• < -5/13, -12/13 >

Given u = < 3, 7 > and v =< -5, 4 >, find 2u - 3v

• < 21, 2 >

• < -11, 26 >

• < -9, 2 >

• 23

In order to find the y-component of a vector with magnitude 7 meters and direction angle of 30° , you would do the following:

• cry

• 7cos(3)+7sin(30)

• 7sin(30)

• 7cos(30)

Write the linear combination form of the vector shown.

• -8i - 2j

• 8i + 2j

• 2j

• <8, 2>

Given points R = (-2, 5) and S = (2, -8), find the component form and magnitude of 4 times the resultant vector RS.

• < 4, -13 > : about 13.6

• < -16, 52 > : about 54.4

• < 16, -52 > : about 49.5

• < 16, -52 > : about 54.4