Question

Unit 4 Parallel and Perpendicular Lines test.
a) True
b) False

Answer 1

Option A. The Pythagorean theorem can be used to calculate the length of the resultant vector obtained from the addition of two vectors that are at right angles to each other.

Step-by-step explanation:

The Pythagorean theorem can be used to calculate the length of the resultant vector obtained from the addition of two vectors that are at right angles to each other. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In the case of the resultant vector formed by two perpendicular vectors, the length of the hypotenuse can be calculated using the Pythagorean theorem.

For example, if we have two vectors with lengths of 3 units and 4 units, and they are perpendicular to each other, we can calculate the length of the resultant vector using the Pythagorean theorem:

1. Find the lengths of the two vectors: 3 units and 4 units.
2. Use the Pythagorean theorem to find the length of the resultant vector:
   Lengthresultant = √(32 + 42) = √(9 + 16) = √25 = 5 units.