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WorksheetsVector Products
Total questions: 15
Worksheet time: 25mins
Find the dot product of the given vectors:
92
0
-92
-120
If the dot product of two vectors is equal to zero, then what do we know about the two vectors?
They are parallel.
They are perpendicular.
They are unit vectors.
They are both zero vectors.
Find the angle between vectors (1,3) and (2,-5).
40.2°
49.7°
139.7°
92.6°
What is the angle between the vectors given?
45.3o
111.7o
21.7o
54.6o
When finding the projection of vector u = (3,2), onto vector v =(5,-5) , which diagram illustrates this situation?
The vector projection of u=(3,2) onto vector v=(5,-5) is
(-½,½)
(½,½)
(½,-½)
(-½,-½)
The scalar projection of vector u=(-7,4) onto vector v=(4, -3) is
8
40
-8
-16
if vector u and vector v are parallel then the projection of u on v is
0
-1
u
v
Find direction angle α for the vector (-8, 3)
159.4°
200.6°
110.6°
249.4°
Find direction angle β for the vector (-8, 3)
58.4°
60.9°
69.4°
88.7°
Find the cross product of (3,4,7) and (4,9,2).
(-55, 22, -9)
(-55, -22, -9)
(71,34, 63)
(-71, -34, -630
The cross product of vectors A and B is
parallel to either A or B
parallel to both A and B
perpendicular to either A or B
perpendicular to both A and B
If vector u=(4,-2) and vector v=(6,12), then the vectors are
parallel
perpendicular
collinear
scalar multiples
Given parallel vectors u and v. Answer ALL that apply
their scalar product is zero
their scalar product is either 1 or -1
u is a scalar multiple of v
magnitude of u equals the magnitude of v
Which vector operation is commutative?
Dot Product
Vector Projection
Scalar Projection
Cross Product
