Exam 1: Units,physical Quantities,and Vectors

When adding two numbers,the number of significant figures in the sum is equal to the number of significant figures in the least accurate of the numbers being added.

Vector has a magnitude of 75.0 cm and points at 30° above the positive x-axis.Vector has a magnitude of 25.0 cm and points along the negative x-axis.Vector has a magnitude of 40.0 cm and points at 45° below the negative x-axis. (a)Determine the x and y components of Vector . (b)Determine the x and y components of Vector . (c)Determine the x and y components of Vector . (d)Determine x and y components of the sum of these three vectors. (e)Determine the magnitude and direction of the sum of these three vectors.

If - = 0,then the vectors and have equal magnitudes and are directed in the opposite directions from each other.

A person on a diet loses in a week.How many are lost?

What is the difference between 103.5 and 102.24 written with the correct number of significant figures?

The shortest wavelength of visible light is approximately 400 nm.Express this wavelength in centimeters.

The following exact conversion equivalents are given: 1 m = 100 cm,1 in = 2.54 cm,and If a computer screen has an area of 1.27 ,this area is closest to

If an operatic aria lasts for 5.75 min,its length expressed in seconds is x s,where x is

What is 0.205^2/3,expressed to the proper number of significant figures?

Under what condition is | - | = A + B?

The number 0.003010 has

If two vectors are perpendicular to each other,their cross product must be zero.

A rectangular box is positioned with its vertices at the following points: A = (0,0,0)C = (2,4,0)E = (0,0,3)G = (2,4,3) B = (2,0,0)D = (0,4,0)F = (2,0,3)H = (0,4,3) If the coordinates all have three significant figures,the angle between the line segments AG and AH is closest to:

The value of the dot product of two vectors depends on the particular coordinate system being used.

The current definition of the standard second of time is based on

If the eastward component of vector is equal to the westward component of vector and their northward components are equal.Which one of the following statements about these two vectors is correct?

You walk to the north,then turn 60° to your right and walk another How far are you from where you originally started?

Vector has a magnitude 5.00 and points in a direction 40.0° clockwise from the negative y axis.What are the x and y components of vector .

An airplane undergoes the following displacements: First,it flies 66 km in a direction 30° east of north.Next,it flies 49 km due south.Finally,it flies 100 km 30° north of west.Using vector components,determine how far the airplane ends up from its starting point.

If the dot product of two nonzero vectors is zero,the vectors must be perpendicular to each other.