Vector Components and Magnitudes

The video tutorial explains how to find the value of 'a' in a vector v, where the x component is 'a' and the y component is 'b', given that b equals 40 and the magnitude of vector v is 41. The process involves using the magnitude formula, substituting known values, and solving the resulting equation. The solution is found by squaring both sides of the equation, isolating 'a', and taking the square root, considering only the positive value as specified. The final result is that 'a' equals 9, making the vector v in component form (9, 40).

What is the y-component of vector v?

• 30

• 40

• 50

• 60

Tags

CCSS.HSN.VM.A.1

What is the magnitude of vector v?

• 42

• 41

• 40

• 39

Tags

CCSS.HSN.VM.A.1

Which formula is used to calculate the magnitude of a vector?

• a^2 - b^2

• sqrt(a^2 + b^2)

• a^2 + b^2

• a + b

Tags

CCSS.8.EE.A.2

What is the value of 41 squared?

• 1600

• 1700

• 1681

• 1640

Tags

CCSS.HSA.REI.A.2

What operation is performed to both sides of the equation to remove the square root?

• Addition

• Subtraction

• Multiplication

• Squaring

Tags

CCSS.6.EE.A.1

After simplifying, what is the value of a squared?

• 83

• 82

• 80

• 81

Tags

CCSS.8.EE.A.2

What is the square root of 81?

• 10

• 9

• 7

• 8

Tags

CCSS.HSN.CN.A.1

Why is only the positive value of 'a' considered?

• a is always positive

• a is given as positive

• a cannot be negative

• a is a component

Tags

CCSS.HSN-VM.B.4C

What is the final value of the x-component of vector v?

• 9

• 8

• 10

• 7

Tags

CCSS.HSN.VM.A.2

What are the final components of vector v?

• (8, 41)

• (9, 41)

• (8, 40)

• (9, 40)

Tags

CCSS.HSN.VM.A.2