Grade 11 - Subtraction of Vectors

Topic: Subtraction of Vectors

Subtracting vectors involves reversing the direction of the vector to be subtracted and then adding it to the first vector.

Steps:
1. Reverse the Vector: The vector to be subtracted is reversed in direction.

2. Add the Reversed Vector: Use the graphical or algebraic method to add the reversed vector to the original vector.

Graphical Representation:

Place the vectors tail to tail or use the head-to-tail method after reversing the second vector.
Example:

If A = 4 units east and B = 3 units north, to find A - B:

Reverse B to point south.

Add A and the reversed B.

Challenging Questions:

1. What happens to the direction of a vector when it is subtracted?
a) It remains the same
b) It reverses
c) It doubles
d) It becomes zero

2. How do you graphically represent vector subtraction?
a) Place vectors head to tail
b) Reverse the second vector, then add head to tail
c) Add both vectors as they are
d) Subtract their magnitudes directly

3. If vector A = 5 units right and vector B = 3 units left, what is A - B?
a) 2 units right
b) 8 units right
c) 2 units left
d) 8 units left

4. Which operation is equivalent to subtracting vector B from vector A?
a) Adding B to A
b) Adding the negative of B to A
c) Subtracting A from B
d) Multiplying A by B

5. What is the result of subtracting a vector from itself?
a) A vector of the same magnitude
b) A vector of double the magnitude
c) A null vector
d) A vector in the opposite direction

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