Examples of Problems with Vectors

 

 

Examples of Problems with Vectors

A small number of the SAT Physics exam questions involve operations with vectors: vectors addition, vectors subtraction, multiplication of a vector by a scalar, scalar product of two vectors and the vector product.

1. The two vectors in the figure below are perpendicular to each other and their magnitudes are equal. If C and D are two vectors, C is the sum A+B and D is the difference A-B, what is the angle between the vectors C and D?

a) 0^o
b) 30^o
c) 45^o
d) 60^o
e) 90^o

2. If the x-component of the vector A in the figure below is equal to 3cm and the y-component of A is equal to 4cm, what is the magnitude of A?

a) 3cm
b) 4cm
c) 5cm
d) 6cm
e) 7cm

3. Which of the following is the angle between two vectors A and B, if the scalar product of A and B is equal to the magnitude of the vector product of A and B?
a) 0^o
b) 30^o
c) 45^o
d) 60^o
e) 90^o


Solutions