# Introduction To Vectors

12 Questions  Settings  The following questions cover the content in Kinematics 5 (K5).

• 1.
If the top vector { 6 i (m/s) } is accurately drawn, then which of the four vectors below it is also accurately drawn?
• A.

A

• B.

B

• C.

C

• D.

D

• 2.
What is the sum of A and B?
• A.

C

• B.

D

• C.

E

• D.

F

• E.

G

• F.

H

• 3.
What is the magnitude of vector A?
• A.

4 j (m)

• B.

J

• C.

4 (m)

• D.

90°

• 4.
A = 5 i (m)B = 3 i + 3 j (m)The magnitude of A+B is _____________ (m).
• A.

11

• B.

5

• C.

8.54

• D.

5.84

• 5.
D = -10 i + 4 j (m/s)In what direction does D point?
• A.

21.8° north of east

• B.

21.8° north of west

• C.

68.2° north of east

• D.

68.2° north of west

• 6.
E = 10 (m), direction unknownF = 6 (m), direction unknownWhat is the smallest possible magnitude of E + F?
• A.

4 (m)

• B.

6 (m)

• C.

10 (m)

• D.

11.7 (m)

• E.

16 (m)

• 7.
C = 5 j (m/s)D = -10 i (m/s)E = 2 i + 6 j (m/s)What is the magnitude of: E + D + 3C = _________ (m/s)(Give me the length of the resultant vector, to the TENTHS place.)
• 8.
What is the direction of vector A+B?(State your answer to the tenths place in the following format: "26.2 degrees north of west" or "15.0 degrees south of west" or "42.8 degrees west of south", but don't include the quotation marks.)
• 9.
Three vectors and their sum are depicted here. Which vector is the sum?
• A.

The green one

• B.

The red one

• C.

The blue one

• D.

The purple one

• 10.
What is the direction of the resultant vector?(State your answer to the tenths place in the following format: "26.2 degrees north of west" or "15.0 degrees south of west" or "42.8 degrees west of south", but don't include the quotation marks.)
• 11.
While these vectors cannot be added, they can be used to determine whether the object to which they pertain is speeding up or slowing down. Which is it?
• A.

Speeding up

• B.

Slowing down

• 12.
A person, following a treasure map, makes 5 distinct displacements. What is the magnitude of the person's overall displacement (i.e. the vector sum of the 5 displacements)?(State your answer to the nearest whole number of meters. Only put the magnitude, not the direction. And omit units.)