In this worksheet, we will practice representing a vector in space using a three-dimensional coordinate system.
Q1:
Find the unit vector in the direction of the 𝑦-axis.
Q2:
Which of the following is equal to the vector 𝐴𝐵?
Q3:
Given A=⟨6,1,4⟩ and B=⟨3,1,2⟩, find 𝐴𝐵.
Q4:
Given 𝐴𝐵=⟨−1,−3,0⟩ and 𝑂𝐴=⟨−4,−5,−5⟩, express 𝑂𝐵 in terms of the fundamental unit vectors.
Q5:
Using the graph, find the vector 𝑂𝐴 in component form.
Q6:
Using the graph, Find the vector 𝑂𝐴 in the component form.
Q7:
Using the graph, write the vector A in terms of its components.
Q8:
In the given figure, find vector 𝐴𝐵.
Q9:
Using the figure, express the vector 𝑂𝐶 in component form.
Q10:
Find the vector 𝐴𝐺 using the graph.
Download the Nagwa Practice app to access 20 additional questions for this lesson!
Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.