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WorksheetsScalar and Vector Products
Total questions: 20
Worksheet time: 20mins
Find the dot product of the given vectors:
92
0
-92
-120
What is the angle between the vectors given?
45.3o
111.7o
21.7o
54.6o
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.
The scalar projection of vector u=(-7,4) onto vector v=(4, -3) is
8
40
-8
-16
Find the magnitude of the resultant vector.
(a)
If z = <-3, -3>, what is -4z?
<12, 12>
<12, -3>
<-12, -12>
<-12, 12>
Find the cross product of (3,4,7) and (4,9,2).
(-55, 22, -9)
(-55, -22, -9)
(71,34, 63)
(-71, -34, -630
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
-23i+7j-k
23i+7j-k
-2i+j-7k
-3i+7j-k
Calculate the cross product of <1, -2, 1> and <2, -1,1>
5
3
< -1, -1, 3>
< -1, 1, 3>
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
their cross product is 0
What operation you need to find an angle between two vectors?
Dot product between the two vectors
Dot product between the two vectors divided by the magnitude of both vectors
Cosine inverse of dot product between the two vectors divided by the magnitude of both vectors
Cross product between the two vectors
Sine inverse of the length of the cross product between the two vectors divided by the magnitude of both vectors
What is the answer when you take dot product between two vectors?
a vector
a scalar
a vector and scalar
nothing
What will we get when we take cross product between two vectors?
A scalar
A perpendicular vector
A point on the plane
A point on the line
The y value of the vector product is ________.
-4
4
8
-8
The magnitude of the vector product is __________.
0
1
2
3
Find the cross product of <3,4,7> and <4,9,2>.
<-55, 22, 11>
<-55, -22, -9>>
<71,34, 63>
<-71, -34, -63>
a is the position vector of point A
b is the direction vector of line L
r is the position vector of all points in L, represented by P(x,y)
OB + BC = OC
OA + AC = OC
CB + B0 = -OC
OD = 0.5(OA + AC)
The scalar product of u and v is zero, therefore...
vectors u and v are parallel
vectors u and v are perpendicular
vectors u and v are equal
vectors u and v are multiples
