Displacement Vectors

What is the definition of a displacement vector?

• A displacement vector represents the change in position of an object from its initial position to its final position.

• A displacement vector represents the speed of an object.

• A displacement vector represents the force exerted on an object.

• A displacement vector represents the distance traveled by an object.

How do you calculate the magnitude of a displacement vector?

• Square root of (x^2 + y^2)

• Square root of (x^2 + y^2 + z^2)

• x + y + z

• x^2 + y^2 + z^2

What is the formula for calculating the direction of a displacement vector?

• Magnitude of the vector

• Length of the vector

• Angle between the vector and a reference axis

• Sum of the vector components

If two displacement vectors are added together, what is the resulting displacement vector called?

• total vector

• resultant vector

• sum vector

• combined vector

How do you add two displacement vectors that are not in the same direction?

• Use the triangle method to add the magnitudes of the two vectors.

• Multiply the magnitudes of the two vectors.

• Subtract the magnitudes of the two vectors.

• Use the parallelogram method to draw the diagonal of the parallelogram formed by the two vectors.

If two displacement vectors are subtracted, what does the resulting displacement vector represent?

• Net displacement

• Combined displacement

• Total displacement

• Resultant displacement

What is the formula for calculating the magnitude of the resultant displacement vector when two vectors are added?

• sqrt(a^2 + b^2 + 2ab*sin(theta))

• sqrt(a^2 + b^2 + 2ab*cos(theta))

• sqrt(a^2 + b^2 - 2ab*cos(theta))

• sqrt(a^2 - b^2 + 2ab*cos(theta))

What is the formula for calculating the magnitude of the resultant displacement vector when two vectors are subtracted?

• Magnitude = sqrt((x1 - x2)^2 + (y1 - y2)^2)

• Magnitude = sqrt((x1 + x2)^2 - (y1 + y2)^2)

• Magnitude = sqrt((x1 - x2)^2 - (y1 - y2)^2)

• Magnitude = sqrt((x1 + x2)^2 + (y1 + y2)^2)

What is relative velocity?

• The velocity of an object in relation to distance.

• The velocity of an object in relation to acceleration.

• The velocity of an object in relation to time.

• The velocity of an object in relation to another object.

How do you calculate the relative velocity of two objects moving in the same direction?

• Subtract the velocity of the slower object from the velocity of the faster object.

• Multiply the velocity of the slower object by the velocity of the faster object.

• Add the velocity of the slower object to the velocity of the faster object.

• Divide the velocity of the slower object by the velocity of the faster object.