Vectors Review

Component Form

100

Write in component form...

Initial Point: (-3, 0)

Terminal Point: (0, -5)

< 3, -5 >

200

Write in component form...

Initial Point: (-1, -3)

Terminal Point: (-6, -3)

< -5, 0 >

300

Write in component form...

Initial Point: (-6, 3)

Terminal Point: (-5, 7)

< 1, 4 >

400

Write in component form...

Initial Point: (-8, 3)

Terminal Point: (-4, 5)

< 4, 2 >

500

Write in component form...

Initial Point: (-6, -6)

Terminal Point: (-2, 5)

< 4, 11 >

i j Form

100

Express the vector <6, 5> in terms of the standard unit vectors i and j.

6i +5j

200

Express the vector <-3, 1> in terms of the standard unit vectors i and j.

-3i + j

300

Express the vector <2,−1> in terms of the standard unit vectors i and j.

2i - j

400

Express the vector <1,−3> in terms of the standard unit vectors i and j.

i - 3j

500

Express the vector <-3, -5> in terms of the standard unit vectors i and j.

-3i - 5j

Operations

100

Given vector u=<−1,−2> and v=<4,2>, determine the value of 2u+2v in component form.

< 6, 0 >

200

Given vector u=<2,3> and v=<3,−3>, determine the value of u+2v in component form.

< 8, -3 >

300

Given vector u=<3,3> and v=<1,4>, determine the value of 3u−3v in component form.

< 6, -3 >

400

Given vector u=<−3,−2> and v=<−4,−6>, determine the value of 2u−2v in component form.

< 2, 8 >

500

Given vector u=<3,6> and v=<5,4>, determine the value of 2v−2u in component form.

< 4, -4 >

Magnitude

100

Given vector < 3, 1 >

Find the magnitude.

√10

200

Given vector < 3, 5 >

Find the magnitude.

√34

300

Given vector < -3, 4 >

Find the magnitude.

5

400

Given vector < -6, -5 >

Find the magnitude.

√61

500

Given vector < 3, -4 >

Find the magnitude.

5

Direction

100

Given vector < 3, 1 >

Find the direction.

18^o

200

Given vector < 3, 5 >

Find the direction.

59^o

300

Given vector < -3, 4 >

Find the direction.

127^o

400

Given vector < -6, -5 >

Find the direction.

220^o

500

Given vector < 3, -4 >

Find the direction.

307^o