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WorksheetsSM025 SUBTOPIC 5.1: VECTORSIN 3D
Total questions: 22
Worksheet time: 20mins
Determine the position vector for point (3,5,0)
OA=3i+5j
OA=3i+5j+k
A=3+5=8
Vector is a quantity with:
magnitude and direction
magnitude
direction
none of the above
Vector a = 2i + 3j - 5k. What is the value of 3a?
3i + 3j - 3k
5i + 6j - 8k
6i + 9j -15k
6i + 6j - 15k
Given points A(3, 2, -4) and B(2, 1, -1), so the vector AB is
i + 3j -5k
-i -3j +3k
i -j -5k
-i -j +3k
Given the vector v = 3i -2j +6 k, the magnitude of a is:
36
49
7
6
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
Component Form
<-3, -7>
<3, -7>
<-3, 7>
<7, 3>
Write in component form.
<0, 4>
<8, 2>
<2, 8>
<0, 2>
Write the vector from C to A...
a
-a
b
-b
Write the vector from B to D...
a
-a
b
-b
Write the vector from A to D...
a + b
-a + b
b - a
a - b
Write the vector from C to B...
a + b
-a + b
b + a
a - b
Write the vector from C to B...
y
-y
z
-z
Write the vector from A to C...
x + z
x + y
x - z
x - y
Write the vector from B to C...
r + s
-r + s
s + r
-s - r
Magnitude 19.3
Magnitude 19.3
Magnitude 373
Magnitude 373
What is the answer when you take dot product between two vectors?
a vector
a scalar
a vector and scalar
nothing
What operation you need to find an angle between two vectors?
Dot product between the two vectors
Dot product between the two vectors divide the magnitude of both vectors
Cosine inverse of dot product between the two vectors divide the magnitude of both vectors
Cross product between the two vectors
What is the angle between two orthogonal vectors?
180 degree
Pi/2
Pi/ 4
45 degree
