PCS 211 Lecture 3: 2.2 Vectors

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17 Oct 2016

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September 13, 2016

PCS211

Scalar: is a physical quantity that has only magnitude and NO direction, a scalar is indicated by an italic

letter ( Temp, Distance, Speed)

Vector: a quantity that has both magnitude and direction

• The magnitude of a vector is a scalar quantity. It is a Positive number (with unity) that describes

its size

• To find the direction of the vector you take the angle from the primary arm and measure

counter clockwise

Properties of vectors:

• Two vectors that have the same direction are said to be parallel

• Two vectors that have opposite directions are said to be anti-parallel

• Two vectors that have the same length and the same direction are said to be equal no matter

where they are located

• The negative of a vector is vector with the same magnitude (size) but opposite direction

• Multiplication or division of a vector by a scalar modifies its magnitude but not its direction

Vector Addition:

• Tip to tail

Vector Subtraction:

• Take the negative of the vector you are subtracting and then do vector addition

Vector displacement:

• To find vector displacement subtract the final position of the object from the starting position

Resolution of a Vector:

• Means to break up a vector into its components (x, and y)

• Rectangular coordinate system

o Draw the vector, find the x-component (xp-0), the y-component (yp-0)

o r=xpi+ypj

Cartesian Vector Notation:

• We resolve vectors ito copoets usig the x and y axes

• Each component of the vector is shown as a magnitude and direction

• The directions are based on the x and y axes. We use the unit vectors I and j to designate the x

and y axes

• The x and y axes are always perpendicular to each other. Together, they can be directed at any

inclination

A+B

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Related Questions

If vector B is added to vector A, which two of the following choices must be true for the resultant vector to be equal to zero?

a) A and B are parallel and in the same direction.

b) A and B are parallel and in opposite direction.

c) A and B have the same magnitude.

d) A and B are perpendicular.

brownprairie-dog885

In a perfectly inelastic one-dimensional collision between two moving objects, what condition alone is necessary so that the final kinetic energy of the system is zero after the collision?

(a) The objects must have initial momenta with the same magnitude but opposite directions.

(b) The objects must have the same mass.

(d) The objects must have the same initial speed, with velocity vectors in opposite direction.

cyansnail323

(a) Is any force exerted on the vertical sides of the loop thatyou used in the experiment and how does it affect the apparentmass? (Select all that apply.)

There is a force exerted on eachside of the loop that are equal in magnitude and opposite indirection.No force is exerted on the sidesof the loop.The lengths of the sides of theloop are much smaller than the bottom section and therefore theforce on the sides are negligible.The forceon the sides are not in the same direction in which the mass ismeasured and therefore it does not affect theresults.The force exerted on the sides ofthe loop cancel each other out.

(b) What would happen to the apparent change in mass if thedirection of the current is reversed? (Select all that apply.)

The magnitude of the apparentchange in mass is unaffected, but the sign isreversed.There is no change to either thedirection or the magnitude of the apparent change inmass.A decrease in apparent mass nowbecomes an increase, and vice versa.Itreverses the direction of the force vector on themagnet.

The magnitude of the apparentchange in mass is unaffected, but the sign isreversed.The effect is the same asreversing the direction of the current.There is no change to either the direction or the magnitude ofthe apparent change in mass.It reverses thedirection of the force vector on the magnet.

(d) What would happen to the apparent change in mass if both thedirection of the current and the poles of the magnet were switched?(Select all that apply.)

There is no change to either thedirection or the magnitude of the apparent change inmass.A decrease in apparent mass nowbecomes an increase, and vice versa.Themagnitude of the apparent change in mass is unaffected, but thesign is reversed.It reverses the directionof the force vector on the magnet.

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PCS 211 Lecture 3: 2.2 Vectors

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