Vector Operation Worksheet

**Page 1**

1.

Two vectors are equivalent if ______

a. | they have same direction. | ||

b. | they have same length but their directions are opposite. | ||

c. | they have same length. | ||

d. | they have same length and direction. |

Correct answer : (4)

2.

Two vectors are said to be opposite if ______

a. | they have same length but their directions are opposite. | ||

b. | they have different lengths. | ||

c. | they have same length. | ||

d. | they have same length and same direction. |

Correct answer : (1)

3.

The resultant vector of $\overrightarrow{\text{PQ}}$ + $\overrightarrow{\text{PR}}$ is _________ .

a. | Figure 4 | ||

b. | Figure 2 | ||

c. | Figure 3 | ||

d. | Figure 1 |

The resultant vector is the diagonal whose initial point is P, which is shown in figure 1.

Correct answer : (4)

4.

The resultant vector of $\overrightarrow{\text{A}}$ + $\overrightarrow{\text{B}}$ is ________ .

a. | Figure 4 | ||

b. | Figure 2 | ||

c. | Figure 3 | ||

d. | Figure 1 |

Move vector

Correct answer : (2)

5.

A vector quantity has _________ .

a. | Magnitude | ||

b. | Direction | ||

c. | Magnitude and not direction | ||

d. | Both magnitude and direction |

Correct answer : (4)

6.

If $\overrightarrow{\text{S}}$ has a magnitude of 18 and a direction of 225° then the $x$ and $y$ - components of $\overrightarrow{\text{S}}$ to the nearest integer are _______ .

a. | -13, -13 | ||

b. | -13, 13 | ||

c. | 13, 13 | ||

d. | 13, -3 |

To the nearest integer, the

Correct answer : (1)

7.

Use the vectors in the figure to find the resultant of $\overrightarrow{\text{A}}$ + $\overrightarrow{\text{B}}$ - $\overrightarrow{\text{C}}$.

a. | Figure 4 | ||

b. | Figure 1 | ||

c. | Figure 2 | ||

d. | Figure 3 |

To get the resultant vector, connect the tail of one vector to the head of the other.

Correct answer : (4)

8.

If $\overrightarrow{\text{PQ}}$ has a magnitude of 4 and a direction of 70° then, the $x$ and $y$-components of $\overrightarrow{\text{PQ}}$ to the nearest integer are ______ .

a. | -1, 4 | ||

b. | 4, 1 | ||

c. | 1, 1 | ||

d. | 1, 4 |

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To the nearest interger, the

Correct answer : (4)

9.

A vector quantity is represented by ______ .

a. | A segment | ||

b. | A curve | ||

c. | A directed line segment | ||

d. | A line |

Correct answer : (3)

10.

If $\overrightarrow{\text{AB}}$ has a magnitude of 12 and a direction of 105° then the $x$ and $y$ - components of $\overrightarrow{\text{AB}}$ to the nearest integer are ______ .

a. | 3, 12 | ||

b. | -3, -12 | ||

c. | -3, 12 | ||

d. | 3, -12 |

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To the nearest interger, the

Correct answer : (3)