Practice Algebraic Method (5.5.1.2) - Vectors

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6 sample questions

Question 1.
What is the sum of A = (1, 2) and B = (3, 4)?
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Sum the corresponding components.
Question 2.
What happens to the vector's direction when multiplied by a negative scalar?
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Think of turning backward.
3Question 3.
What is the result of A + B if A = (1, 2) and B = (3, 4)?
- (4, 6)
- (2, 6)
- (3, 4)
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Sum X components and Y components separately.
4Question 4.
True or False: A dot product results in a vector.
- True
- False
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Remember the definition of dot product.
Question 5.
If vector A = (3, 2) and vector B = (1, 4), find A + B and then A - B.
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Perform addition/subtraction component-wise.
Question 6.
Calculate the area of a parallelogram formed by vectors A = (2, 0) and B = (0, 3) using the cross product.
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Use the formula |AxBy - AyBx| for cross product.

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