Vector Addition and Properties

The video tutorial explains how to find the components of two vectors, U and V, starting from the origin. It describes how to write these vectors in component form and demonstrates the process of vector addition, highlighting the commutative property. The tutorial also shows how to express the sum using unit vector notation and provides a graphical representation of vector addition on a coordinate plane. The video concludes with a summary of the concepts covered.

What are the terminal points of vector U?

• (0, 0)

• (4, 2)

• (1, -4)

• (5, -2)

How do you find the component form of a vector?

• By subtracting the initial point from the terminal point

• By multiplying the initial point by the terminal point

• By adding the initial and terminal points

• By dividing the terminal point by the initial point

What is the X component of the sum of vectors U and V?

• 7

• 6

• 5

• 3

In unit vector notation, how is the sum of vectors U and V expressed?

• 5i - 2j

• 1i - 4j

• 3i + 4j

• 4i + 2j

What is the Y component of the sum of vectors U and V?

• -4

• -2

• 2

• 4

What is one way to graphically represent the sum of two vectors?

• By placing both vectors at their terminal points

• By placing both vectors at the origin

• By placing the initial point of one vector at the terminal point of the other

• By placing the initial point of one vector at the origin

What does the commutative property of vector addition state?

• U + V is always greater than V + U

• U + V is always less than V + U

• U + V equals V + U

• U + V is not equal to V + U

What is the terminal point of the sum of vectors U and V?

• (5, -2)

• (4, 2)

• (1, -4)

• (0, 0)

Which property of matrix addition is demonstrated by vector addition?

• Identity

• Associative

• Distributive

• Commutative

How can the sum of vectors U and V be visually confirmed?

• By checking the initial points

• By ensuring the sum vector is parallel to the original vectors

• By ensuring the sum vector starts at the origin and ends at the calculated terminal point

• By checking the terminal points