Physics
posted by Colin .
Vector A has a magnitude of 5.00 units, vector has a magnitude of 5.00 units, and the dot product A·B has a value of 16. What is the angle between the directions of A and ?

A•B= AB cosα
cosα =A•B/ AB=
=16/5•5=0.64
α=cos⁻¹α=50.2° 
A person walks in the following pattern: 2.8 km north, then 2.7 km west, and finally 6.9 km south. Construct the vector diagram that represents this motion and from it judge how far and in what direction a bird would fly in a straight line from the same starting point to the same final point. (Choose east as the +x direction.)
Respond to this Question
Similar Questions

Physics
Use the definition of scalar product( vector A* vector B = abcos theda and the fact that vector A * vector B = axbx+ ayby+azbz to calculate the angle between the two vectorgiven by vector A= 3i + 3j + 3k and vector B= 2i + 1j + 3k. … 
AP physics
Vector A has a magnitude of 8.00 units and makes an angle of 45.0° with the positive xaxis. Vector B also has a magnitude of 8.00 units and is directed along the negative xaxis. Using graphical methods, find (a) the vector sum A … 
Calculus  Dot Product
consider a rhombus ABCD a) find the resultant of vector AB + vector AD and vector AB  vector AD? 
physics
Vector vector A has a magnitude of 6.90 units and makes an angle of 46.5° with the positive xaxis. Vector vector B also has a magnitude of 8.00 units and is directed along the negative xaxis. Using graphical methods find the following. … 
precalc
If is vector a ia 7 units long, the magnitude of vector b is 10 units and the cosine of the angle between the two vectors is 0.3 when they are placed tailtotail, what does the inner product of vector a and vector b equal? 
physics
The magnitude of vector A is 18 units at an angle of 90 degrees with the xaxis, and the magnitude of vector B is 12 units at an angle of 330 degrees with the xaxis. What vector C must be added to the vectors A and B so that the resultant … 
Physics
Vector A has a magnitude of 5.00 units, vector B has a magnitude of 9.00 units, and the dot product A·B has a value of 42. What is the angle between the directions of A and B? 
Physics
Vector has a magnitude of 8.10 units and makes an angle of 52.0° with the positive xaxis. Vector also has a magnitude of 8.00 units and is directed along the negative xaxis. Using graphical methods find the following. a) The vector … 
Physics
1. Two points in a plane have polar coordinates (2.5 m, 30 degrees) and (3.8 m, 120 deg). Determine (a) the cartesian coordinates of both points and (b) the distance between the points. 2. Vector A has magnitude 29 units and points … 
Physics  Vectors
Vector A has a magnitude of 2.2 units, vector B has a magnitude of 10 units, and Vector A times Upper B has a value of 14.0. What is the angle between the directions of Vector A and Vector B?