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Worksheet: Components of a Vector

Q1:

The components of the vector u are 2 , 1 as the terminal point of the vector is 2 units right (2 units left) of the initial point and 1 unit up from the initial point. What are the components of the vector v ?

  • A 5 , 3
  • B 5 , 3
  • C 5 , 3
  • D 5 , 3
  • E 3 , 5

Q2:

A body moved 190 cm due east, where and are two unit vectors in the east and north directions, respectively. Express its displacement in terms of the two unit vectors and .

  • A cm
  • B cm
  • C cm
  • D cm

Q3:

The components of the vector u are 2 , 1 as the terminal point of the vector is 2 units right (2 units left) of the initial point and 1 unit up from the initial point. What are the components of the vector v ?

  • A 3 , 1
  • B 1 , 3
  • C 3 , 1
  • D 1 , 3
  • E 1 , 3

Q4:

The components of the vector u are 1 , 2 as the terminal point of the vector is 1 units right (1 unit left) of the initial point and 2 units up (2 units down) from the initial point. What are the components of the vector v ?

  • A 3 , 4
  • B 4 , 3
  • C 3 , 4
  • D 3 , 4
  • E 3 , 4

Q5:

Find the components of the vector v shown on the grid of unit squares below.

  • A 4 , 1
  • B 1 , 4
  • C 4 , 1
  • D 4 , 1
  • E 4 , 1

Q6:

The components of the vector u are 1 , 2 as the terminal point of the vector is 1 units right (1 unit left) of the initial point and 2 units up (2 units down) from the initial point. What are the components of the vector v ?

  • A 2 , 4
  • B 4 , 2
  • C 2 , 4
  • D 2 , 4
  • E 2 , 4

Q7:

Find the components of the vector v shown on the grid of unit squares below.

  • A 0 , 2
  • B 2 , 0
  • C 2 , 0
  • D 0 , 2
  • E 1 , 2

Q8:

Consider the vector in the given diagram.

What are the coordinates of its terminal point?

  • A ( 5 , 3 )
  • B ( 3 , 1 )
  • C ( 1 , 3 )
  • D ( 3 , 5 )
  • E ( 0 , 4 )

What are the coordinates of its initial point?

  • A ( 3 , 1 )
  • B ( 1 , 3 )
  • C ( 5 , 3 )
  • D ( 3 , 5 )
  • E ( 0 , 4 )

What are the components of the vector?

  • A 0 , 4
  • B 4 , 0
  • C 0 , 4
  • D 3 , 5
  • E 3 , 1

Q9:

Consider the vector v in the given diagram.

What are the coordinates of its terminal point?

  • A ( 2 , 2 )
  • B ( 4 , 2 )
  • C ( 4 , 2 )
  • D ( 2 , 2 )
  • E ( 6 , 0 )

What are the coordinates of its initial point?

  • A ( 4 , 2 )
  • B ( 2 , 4 )
  • C ( 2 , 2 )
  • D ( 2 , 2 )
  • E ( 6 , 0 )

What are the components of the vector?

  • A 6 , 0
  • B 0 , 6
  • C 6 , 0
  • D 4 , 2
  • E 2 , 2

Q10:

Find the components of the vector v shown on the grid of unit squares below.

  • A 0 , 4
  • B 4 , 0
  • C 0 , 4
  • D 4 , 0
  • E 4 , 1

Q11:

Find the components of the vector v shown on the grid of unit squares below.

  • A 3 , 5
  • B 5 , 3
  • C 5 , 3
  • D 3 , 5
  • E 3 , 5

Q12:

Consider the vector in the given diagram.

What are the coordinates of its terminal point?

  • A ( 2 , 1 )
  • B ( 2 , 2 )
  • C ( 2 , 2 )
  • D ( 1 , 2 )
  • E ( 3 , 0 )

What are the coordinates of its initial point?

  • A ( 2 , 2 )
  • B ( 2 , 2 )
  • C ( 2 , 1 )
  • D ( 1 , 2 )
  • E ( 3 , 0 )

What are the components of the vector?

  • A 3 , 0
  • B 0 , 3
  • C 3 , 0
  • D 1 , 2
  • E 2 , 2

Q13:

Consider the vector in the given diagram.

What are the coordinates of its terminal point?

  • A ( 1 , 7 )
  • B ( 1 , 2 )
  • C ( 2 , 1 )
  • D ( 7 , 1 )
  • E ( 6 , 3 )

What are the coordinates of its initial point?

  • A ( 1 , 2 )
  • B ( 2 , 1 )
  • C ( 1 , 7 )
  • D ( 7 , 1 )
  • E ( 6 , 3 )

What are the components of the vector?

  • A 6 , 3
  • B 3 , 6
  • C 6 , 3
  • D 1 , 2
  • E 1 , 7

Q14:

The components of the vector u are 2 , 1 as the terminal point of the vector is 2 units right of the initial point and 1 units up (1 unit down) from the initial point. What are the components of the vector v ?

  • A 4 , 6
  • B 4 , 2
  • C 2 , 6
  • D 4 , 2
  • E 2 , 4

Q15:

Find the components of the vector v shown on the grid of unit squares below.

  • A 3 , 2
  • B 2 , 3
  • C 3 , 2
  • D 3 , 2
  • E 3 , 2

Q16:

is the origin point of a system of perpendicular Cartesian coordinates in a plane. is acting at in the direction of and . Find the two components of in the direction of the two axes.

  • A3 units in the direction of , 15 units in the direction of
  • B9 units in the direction of , 6 units in the direction of
  • C9 units in the direction of , 6 units in the direction of
  • D9 units in the direction of , 6 units in the direction of