Vectors Answers

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The diagram shows vectors that are not perpendicular to one another.The data table shows the magnitudes of the components of each displacement vector.

Question illustration
A
0.1°
B
10.0°
C
36.9°
D
41.1°
2
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Assuming motion is on a straight path, what would result in two positive components of a vector?

A
a train moving north of east at an angle of 25°
B
a bus moving north of east at an angle of 95°
C
a boat moving south of west at an angle of 40°
D
a car moving south of west at an angle of 10°
3

differenceproductquotientsum

A
difference
B
product
C
quotient
D
sum
4

The angle a vector makes with the x-axis of a coordinate system must be what size in order to make one or more of its components negative?

A
less than 30 degrees
B
between 30 and 60 degrees
C
between 61 and 90 degrees
D
greater than 90 degrees
6

Which equation represents the Pythagorean theorem, which can be used to find the magnitude of resultant vectors?

A
R = A + B
B
R = A x B
C
R2 = A2 x B2
D
R2 = A2 + B2
7

The diagram shows two sets of vectors that result in a single vector.

Question illustration
A
find the square of the first horizontal vector and the square root of the first vertical vector
B
find the square root of the first horizontal vector and the square root of the second horizontal vector
C
find the sum of the two horizontal vectors and the sum of the two vertical vectors
D
find the difference between the two horizontal vectors and the difference between the two vertical vectors
8

The diagram shows components that have been added together to form Rx and Ry. Rx and Ry are the components of the resultant vector.

Question illustration
A
R2 = Rx2 + Ry2
B
R = Rx + Ry
C
R = Rx(cosθ)
D
R = Rx(sinθ)
9

Study the vector diagram.

Question illustration
A
54 cm
B
72 cm
C
5184 cm
D
5625 cm
10

Suppose two initial vectors intersect at a right angle and form a resultant vector. The magnitudes of one initial vector, A, and the resultant vector, R, are given.

A
B2 = A2 - R2
B
B2 = R2 + A2
C
B2 = A + R
D
B2 = R2 - A2

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Vectors Answers — HSPHY Physics Sem 1 26-27