Understanding Vector Magnitude

The video tutorial explains how to find the magnitude of a vector using the Pythagorean theorem. It starts by introducing vector u and the concept of magnitude, then demonstrates how to calculate the magnitude by treating it as the hypotenuse of a right triangle. The tutorial provides a detailed calculation process, including simplifying the square root of 20 and obtaining a decimal approximation. The video concludes with a practical example of rounding the result to two decimal places.

What is the vector u composed of?

• 4i + 2j

• i + j

• 2i + 4j

• 3i + 5j

How is the magnitude of a vector represented?

• Using square brackets

• Using curly braces

• Using parentheses

• Using vertical bars

Which theorem is used to find the magnitude of a vector?

• Pythagorean theorem

• Fermat's Last theorem

• Binomial theorem

• Fundamental theorem of calculus

What are the horizontal and vertical components of vector u?

• 4 and 2

• 1 and 1

• 2 and 4

• 3 and 5

What is the formula for the magnitude of vector u?

• Square root of a + b

• Square root of a^2 + b^2

• a^2 + b^2

• a + b

What is the process to find the magnitude of a vector using its components?

• Multiply the components

• Add the components

• Use the Pythagorean theorem

• Subtract the components

What is the simplified form of the square root of 20?

• 3 square root of 5

• 2 square root of 5

• 4 square root of 5

• 5 square root of 2

What is the perfect square factor of 20?

• 9

• 16

• 4

• 25

What is the decimal approximation of the magnitude of vector u rounded to two decimal places?

• 4.46

• 4.47

• 4.48

• 4.45

Which number in the third decimal place causes the rounding down to 4.47?

• 1

• 2

• 4

• 3