# Worksheet: Vectors in Terms of Fundamental Unit Vectors

In this worksheet, we will practice writing vectors in component form using fundamental unit vectors.

Q1:

Given that , express the vector in terms of the unit vectors and , and find its norm .

• A,
• B,
• C,
• D,
• E,

Q2:

Given that , where and are two perpendicular unit vectors, find .

• A
• B
• C
• D

Q3:

The given figure shows a vector in a plane. Express this vector in terms of the unit vectors and . • A
• B
• C
• D
• E

Q4:

Express the vector using the unit vectors and .

• A
• B
• C
• D
• E

Q5:

Given that , express the vector in terms of the unit vectors and .

• A
• B
• C
• D
• E

Q6:

Given that , express the vector in terms of the unit vectors and .

• A
• B
• C
• D
• E

Q7:

Given that , write the vector in Cartesian coordinates.

• A
• B
• C
• D
• E

Q8:

Given that , write the vector in Cartesian coordinates.

• A
• B
• C
• D
• E

Q9:

Given that , write the vector in Cartesian coordinates.

• A
• B
• C
• D
• E

Q10:

Given that , express the vector in terms of the unit vectors and .

• A
• B
• C
• D
• E

Q11:

Find the unit vector in the direction of . • A
• B
• C
• D
• E