Vector Magnitude and Direction
Magnitude of the Resultant
Dot Product
Angle between two vectors
Potpourri
100

This is the magnitude and direction for the vector <-12,5>

What is Mag: 13; Direction angle: 157.4 deg.

100

This is the magnitude of the resultant force for the following:  Forces of 36.1 and 60.5 lb form an angle of 88.8 deg.

What is 71 lb

100

This is the dot product for the following pair of vectors:

4i, 5i-9j

What is 20

100

This is the angle between the following vectors:

3i+4j,j

What is 36.87 degrees

100

The vector <-9,3> can be written in the form

ai+bj

What is  -9i+3j 

200

This is the horizontal component of vector v.

Vector |v| = 62.4; Direction angle 

alpha = 25.8 

What is 56.2

200

This is the magnitude of the resultant for two forces of 116 and 139 lbs. forming an angle of 140.83 degrees.

What is 88.2 lbs

200

Show that the following vectors are not orthogonal:

sqrt(5)i-2j, -5i+2sqrt(5)j

What is "the dot product is not zero".

200

This is the angle between the following two vectors:

<1,2>, <-6,3>

What is 90 degrees

200

Determine whether the vectors <8,-2> and <-3,-4> are orthogonal

What is No

300

Vector a has a magnitude of 6 and a direction of 280 deg.  This is the vector in the form <a,b>

What is  <6cos(280),6sin(280)> or <1.04,-5.91>

300

This is the magnitude and direction angle for 

u=<-4,4sqrt3>

What is 8, 120 deg

300

For vectors u=<-2,1>, v=<3,4>, w=<-5,12>

Evaluate 

ucdotv-ucdotw

What is -24

300

A ship leaves port on a bearing of 34.0 deg. and travels 10.4 mi.  The ship then turns due east and travels 4.6 mi.  How far is the ship from port and what is its bearing from port?

What is 13.5 mi; 50.4 deg.

300

A force of 18.0 lb is required to hold a 60.0 lb stump grinder on an incline.  This is the angle the incline makes with the horizontal.

What is 17.5 degrees

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