Vectors

Two vectors are shown. Which statement best compares the vectors?

• Vector X has greater magnitude than vector Y.

• Vector Y has greater magnitude than vector X. 

• The vectors have the same displacement. 

• The vectors have the same direction. 

A resultant vector is the _____ of two or more vectors.

• sum
• quotient

• difference

• product

Tags

NGSS.HS-PS2-4

NGSS.HS-PS3-5

Which equation represents the Pythagorean theorem, which can be used to find the magnitude of resultant vectors?

• R = A + B

• R = A x B

• R² = A² x B²

• R² = A² + B²

In order to use the Pythagorean theorem to find the magnitude of a resultant vector, which must be true regarding the two initial vectors?

• They form a 90 degree angle. 

• They are equal in magnitude. 

• They have the same directions. 

• They are parallel to one another. 

Two vectors, X and Y, form a right angle. Vector X is 48 inches long and vector Y is 14 inches long. How many inches is the length of the resultant vector?

The diagram shows three different bicycle routes taken by Frank, Alexis, and Juan to get to the electronics store. According to the diagram, how many kilometers did Juan travel?

What is the magnitude of vector X?

• 54 cm

• 72 cm

• 5184 cm

• 5625 cm

What is the magnitude of vector K?

• 8 m

• 16 m

• 60 m

• 136 m

Suppose two initial vectors intersect at a right angle and form a resultant vector. The magnitudes of one initial vector, A, and the resultant vector, R, are given. Which formula can be used to find the magnitude of the other initial vector, B?

• B² = A² - R²

• B² = R² + A²

• B² = A + R

• B² = R² - A²

The diagram shows two sets of vectors that result in a single vector. What are the first two steps for finding the magnitude of the resultant vector?

• find the square of the first horizontal vector and the square root of the first vertical vector

• find the square root of the first horizontal vector and the square root of the second horizontal vector

• find the sum of the two horizontal vectors and the sum of the two vertical vectors

• find the difference between the two horizontal vectors and the difference between the two vertical vectors