Vector Addition Techniques: Triangle Law and Parallelogram Law Explained

The video tutorial explains vector addition, focusing on the triangle and parallelogram laws. It introduces the head and tail rule for the triangle law and the T and T rule for the parallelogram law. The tutorial also demonstrates the commutative property of vector addition with examples, showing that A + B equals B + A.

What are the two laws used for vector addition?

• Circle and Ellipse laws

• Hexagon and Pentagon laws

• Triangle and Parallelogram laws

• Square and Rectangle laws

In the triangle law of vector addition, what is the rule used to join vectors?

• Head and Tail rule

• Base and Height rule

• Vertex and Edge rule

• Diagonal and Side rule

What is the resultant vector in the triangle law of vector addition?

• The vector that bisects the angle

• The vector that completes the triangle

• The vector that is perpendicular to the base

• The vector that is parallel to the height

How do you find the sum of vectors A and B using the triangle law?

• Join the tail of B to the head of A

• Join the head of B to the tail of A

• Join the midpoints of A and B

• Join the diagonals of A and B

What is the commutative property of vector addition?

• A + B = A * B

• A + B = B - A

• A + B = A - B

• A + B = B + A

What is the T and T rule in the parallelogram law of vector addition?

• Join the heads of both vectors

• Join the tails of both vectors

• Join the midpoints of both vectors

• Join the diagonals of both vectors

How is the resultant vector determined in the parallelogram law?

• By drawing a diagonal from the common tail

• By drawing a circle around the vectors

• By drawing a perpendicular from the midpoint

• By drawing a line parallel to one vector

Which historical figure is associated with the parallelogram law?

• Aristotle

• Newton

• Einstein

• Galileo

What is the result of adding vectors P = 2i - 7j and Q = 3i + 4j?

• 2i + 4j

• 5i - 3j

• 5i + 3j

• 3i - 7j

What is the result of adding vectors A = 2i + 5j and B = 7i - 2j?

• 9i + 3j

• 5i + 7j

• 7i + 5j

• 2i - 2j