How to determine the resultant vector algebraically and geometrically

The video tutorial explains vector addition using vectors U and V. It starts by adding the vectors algebraically and then demonstrates how to represent them graphically. The tutorial introduces the head to tail method for vector addition, showing how to place one vector at the end of another to find the resultant vector. The video concludes with a visualization of the resultant vector on a graph, emphasizing the importance of understanding both algebraic and graphical representations of vectors.

What is the resultant vector when you add vector U (2, 1) and vector V (1, 3)?

• (4, 4)

• (3, 3)

• (2, 4)

• (3, 4)

In component form, where is the initial point of a vector located?

• (0, 0)

• (1, 1)

• (2, 2)

• (3, 3)

Which method is used to graphically find the resultant vector by placing one vector at the end of another?

• Head-to-tail method

• Parallelogram method

• Dot product method

• Cross product method

When using the head-to-tail method, what is the correct sequence for placing vectors?

• Place vectors side by side

• Overlap the vectors

• Place the head of one vector at the tail of the other

• Place the tail of one vector at the head of the other

What is the final position of the resultant vector in the head-to-tail method for vectors U and V?

• (2, 3)

• (1, 2)

• (3, 4)

• (4, 5)