Vectors

​Position Vectors

When the vector starts at the origin, it is called a position vector.

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​Position Vector

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Multiple Choice

A position vector arrow is drawn from ____________ ?

• the origin to a point

• a point to a point

• a point to the origin

• the origin to the origin

Multiple Choice

Express the vector $$\overrightarrow{AB}$$ as a column vector. 

Multiple Choice

Express the vector $$\overrightarrow{AB}$$  as a column vector.

Multiple Choice

Are the vectors u and w equivalent?

• Yes, they are equivalent.

• No, they have the same magnitude, but different directions.

• No, they have the same direction, but different magnitudes.

• No, they have different magnitudes and different directions.

Multiple Choice

The diagram below shows two position vectors OA and OB.

OA as a column vector is

Multiple Choice

$$\overrightarrow{OB}$$  as a column vector is

Multiple Choice

$$\overrightarrow{AB}$$  as a column vector is

Multiple Choice

Find $$\overrightarrow{AB}$$  given the above position vector

Multiple Choice

Given the above position vectors find $$\overrightarrow{BC}$$  

Multiple Choice

ABCD is a parallelogram. AB is parallel to DC. AD is parallel to BC. Find $$\overrightarrow{AC}$$ in terms of p and q 

• p + q

• p - q

• q - p

• 2q

Multiple Choice

ABCD is a parallelogram. AB is parallel to DC.AD is parallel to BC. Find $$\overrightarrow{BD}$$   in terms of p and q

• p + q

• p - q

• 2q

• q - p 

Multiple Choice

Which vector is parallel to the vector above

Multiple Choice

$$\overrightarrow{AB}$$  The coordinates of two points A and B are (3, 4) and (9, 12). Find the magnitude of

• 10

• 16

• 81

• 100

Multiple Choice

• 2a + b

• 3a + b

• 3a - b

• a - b

Multiple Choice

• a + 4b

• b - 2a

• -2b - a

• a - 2b

Multiple Choice

• 3b + a

• -3b + a

• 3b - a

• 2a + 2b

Multiple Choice

• 2a - 2b

• a - b

• 2a + 2b

• a - 2b