The magnitude of a vector can be calculated using the Pythagorean theorem, which states that 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 this case, the components of the vector in the x and y directions can be thought of as the two sides of a right triangle, and the magnitude of the vector is the hypotenuse.

Here are the steps to calculate the magnitude:

1. Square each of the components: (6 units)^2 = 36 square units and (8 units)^2 = 64 square units.
2. Add these squares together: 36 square units + 64 square units = 100 square units.
3. Take the square root of this sum to find the magnitude of the vector: sqrt(100 square units) = 10 units.

So, the magnitude of the vector is 10 units. The correct answer is a. 10 units.

Question

The magnitude of a vector can be calculated using the Pythagorean theorem, which states that 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 this case, the components of the vector in the x and y directions can be thought of as the two sides of a right triangle, and the magnitude of the vector is the hypotenuse.

Here are the steps to calculate the magnitude:

1. Square each of the components: (6 units)^2 = 36 square units and (8 units)^2 = 64 square units.
2. Add these squares together: 36 square units + 64 square units = 100 square units.
3. Take the square root of this sum to find the magnitude of the vector: sqrt(100 square units) = 10 units.

So, the magnitude of the vector is 10 units. The correct answer is a. 10 units.

Knowee AI · Accepted Answer

The magnitude of a vector can be calculated using the Pythagorean theorem, which states that 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 this case, the components of the vector in the x and y directions can be thought of as the two sides of a right triangle, and the magnitude of the vector is the hypotenuse.

Here are the steps to calculate the magnitude:

1. Square each of the components: (6 units)^2 = 36 square units and (8 units)^2 = 64 square units.
2. Add these squares together: 36 square units + 64 square units = 100 square units.
3. Take the square root of this sum to find the magnitude of the vector: sqrt(100 square units) = 10 units.

So, the magnitude of the vector is 10 units. The correct answer is a. 10 units.

Calculate the magnitude of a vector that has components of 6 units in the x-direction and 8 units in the y-direction.Select one:a.10 unitsb.8 unitsc.14 unitsd.12 units

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