Question

Tristan realizes that he needs to add another row at the bottom of the table.

a) True
b) False

Answer 1

The Pythagorean theorem can indeed be used to calculate the length of a resultant vector when adding two vectors that are at right angles to each other. This is because the vectors form a right-angled triangle with the resultant as the hypotenuse.

Step-by-step explanation:

Pythagorean Theorem and Resultant Vectors

The question asks whether the Pythagorean theorem can be used to calculate the length of the resultant vector when adding two vectors that are at right angles to each other. The answer is True.

The Pythagorean theorem is a fundamental principle in mathematics that states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. When dealing with vectors, if two vectors are perpendicular (at right angles) to each other, they form a right triangle with the resultant vector being the hypotenuse. Therefore, the length of the resultant vector can indeed be calculated using the Pythagorean theorem. For example, if we have vectors A and B with lengths 'a' and 'b' respectively, forming a right angle, the length of the resultant vector 'R' can be found using the equation R^2 = a^2 + b^2.