Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

In this lesson, we will learn how to solve operations on vectors algebraically such as vector addition, vector subtraction, and scalar multiplication.

Q1:

Given that and , find .

Q2:

Q3:

Q4:

Q5:

Q6:

Q7:

Q8:

Q9:

Q10:

Q11:

Q12:

Q13:

On a lattice, where , , and , determine the coordinates of the point .

Q14:

Given that u = β¨ 0 , 4 β© and v = β¨ 0 , β 5 β© , find the components of u v + .

Q15:

A force of ( β + + ) i j k newtons is being applied to an object. What other force should be applied to achieve a total force of ( 2 + + ) i j k newtons?

Q16:

Given that u = β¨ 2 , β 3 β© , v = β¨ β 5 , 4 β© , and w = β¨ 3 , β 1 β© , find the components of u v w + + .

Q17:

Given that u = β¨ 2 , β 3 β© , v = β¨ 3 , 2 β© , and w = β¨ β 1 , β 5 β© , find the components of u v w + + .

Q18:

Given that u = β¨ 2 , β 4 β© and v = β¨ 0 , 0 β© , find the components of u v + .

Q19:

and Find ( + ) β A B A .

Q20:

Shown on the grid of unit squares are the vectors u , v , and u v + .

What are the components of u ?

What are the components of v ?

What are the components of u v + ?

Q21:

The figure shows a regular hexagon π΄ π΅ πΆ π· πΈ πΉ divided into 6 equilateral triangles. Which of the following is equal to οͺ π΅ πΈ + ο« πΉ π΄ ?

Q22:

Given that u = β¨ 2 , β 4 β© and v = β¨ β 2 , 4 β© , find the components of u v + .

Q23:

Given that and , find the possible values of .

Q24:

Given that u = β¨ β 3 , β 1 β© , and v = β¨ β 2 , 5 β© , find the components of u v + .

Q25:

Given that u = β¨ 3 , 1 β© and v = β¨ 2 , 5 β© find the components of u + v .

Donβt have an account? Sign Up