1. Find {image} , if {image} and {image} .
-45 -4
-26
-64 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

2. Find the cosine of the angle between the vectors
Find the cosine of the angle between the vectors. (approximate to the nearest hundredth.) a = 4j + 3k b = 3i + 5j + 2k
1.34
0.84
1.01 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

3. Find the scalar projection of b onto a
Find the scalar projection of b onto a. a = <9, 5>, b = <7, 4>
{image} 1. 2. 3. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

4. A constant force with vector representation F = 6i + 4j + 5k moves an object along a straight line from the point (2, 3, 5) to the point (3, 9, 8). Find the work done. 30 26 50 45 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

5. Use a scalar projection to find the distance from the point P (4, 16) to the line 3x + 19y + 5 = 0.
{image} 1. 2. 3. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50