The rectangle shown in a Figure has sides parallel to the x and y axes. The position vectors of two
corners are A = 10.0 m at 50.0° and B = 12.0 m at 30.0°. (a) Find the perimeter of the rectangle. (b) Find the magnitude
and direction of the vector from the origin to the upper right corner of the rectangle.
Two vectors A and B have precisely equal magnitudes. In order for the magnitude of A + B to be one
hundred times larger than the magnitude of A - B, what must be the angle between them?
Three displacement vectors of a croquet ball are shown in a Figure, where |A| = 20.0 units, |B| =
40.0 units, and |C|= 30.0 units. Find (a) the resultant in unit–vector notation and (b) the magnitude and direction of the
resultant displacement.
Vector B has x, y, and z components of 4.00, 6.00, and 3.00 units, respectively. Calculate the magnitude
of B and the angles that B makes with the coordinate axes.
The helicopter view in a Figure shows two people pulling on a stubborn mule. Find (a) the single force
that is equivalent to the two forces shown, and (b) the force that a third person would have to exert on the mule to make
the resultant force equal to zero. The forces are measured in units of newtons (abbreviated N).
Each of the displacement vectors A and B in a Figure has a magnitude of 3.00 m. Find graphically
(a) A + B, (b) A - B, (c) B - A, (d) A - 2B (e) Report all angles counterclockwise from the positive x axis.
While exploring a cave, a spelunker starts at the entrance and moves the following distances. She
goes 75.0 m north, 250 m east, 125 m at an angle 30.0° north of east, and 150 m south. Find the resultant displacement
from the cave entrance.
The helicopter view in Fig. 2 shows two people pulling on a stubborn mule. Find (a) the single force
that is equivalent to the two forces shown, and (b) the force that a third person would have to exert on the mule to make
the resultant force equal to zero. The forces are measured in units of newtons (abbreviated N).
The rectangular plate shown above has a width of 5cm and length of 4cm at temperature at 15 Celsius. The plate is made of metal with the thermal expansion coefficient a=7.0*10^-6 1/Celsius. What is the final area of the plate when the temperature increases from T=15 Celsius to T=72 Celsius
state your answe in cm2 to the nearest 0.0001 of the cm2