Arc Tutor Liknayan Quiz - Scalars, Vectors and Vector Algebra

Organize these options into the right categories

Groups:

(a) Scalar Quantities

,

(b) Vector Quantities

• Gravity acting downward on a falling ball

• The momentum of two colliding balls

• The reading on a car's speedometer

• The potential energy of a compressed spring

• The kinetic energy of a rolling ball

• The directed distance between your house and your school

• The number of fingers a person has on each hand

• The velocity of a runner going around a track field

• The velocity of a volleyball being spiked by a sports team

• The wattage of a 10V Battery

Which of the following represent the vector going from the point (2,3) to the origin?

• (-2,-3)

• <2,3>

• <-3,-2>

• <-2,-3>

Answer explanation

We are going from quadrant 1 to the origin so the x and y components of the vector should both be negative.

Choose 2. Which of the following represent the same vector?

• The vector from the origin to the point (3,4)

• The vector from (3,4) to the origin

• The vector from (2,5) to the point (5,9)

• The vector from the origin to the point (4,3)

Answer explanation

Vectors do not always need to start from the origin, so long as the components along the x and the y are the same, they are the same vector

Given two vectors A and B, where A is parallel to the y axis, and B is parallel to x axis. Find their dot product.

Mathematical Equivalence

ON

Answer explanation

Since we have two perpendicular vectors, their dot product is zero.

Compute: <2, 5> x <9, 8>

Mathematical Equivalence

ON

Answer explanation

Simply apply the formula:

<x1,y2>x<x2,y2>=x1y2-x2y1

Given the polar vector R <5√2, π/4>. Write R as a cartesian vector.

Note that the angle π/4 is in radians

A basketball player shoots a free throw with an initial velocity of 8.07 m/s at an angle of 49.6 degrees above the horizontal.

Represent the vector of the ball's velocity in both Polar and Cartesian form and plot the cartesian vector of the ball's velocity.

Mathematical Equivalence

OFF

Answer explanation

Due to limitations of the Quizziz platform we will be checking your solutions uploaded. The exact answer is the following

Polar Vector: <8.07, 49.6°>

Cartesian Vector: <5.23,6.15>

The plot is shown here.

You and your friend are at opposite corners of a 10.0m x 10.0m playground.

You move closer to your friend by walking 3.0m to the left and 2.0m forward.

How far from your friend are you now? Write your answer as a cartesian vector.

Take your forward-backward axis as the vertical and your lateral (left-right) axis as the horizontal

Answer explanation

The new displacement is the difference between the initial distance vector and how far you moved from your initial position