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Worksheetsvector complete
Total questions: 15
Worksheet time: 18mins
Name
Class
Date
1.
In the coordinate plane Oxy, given two points A(2;−1), B(−3;2) . Calculate OA .OB
a)
−8
b)
−4
c)
8
d)
4
2.
Let ABC be a right triangle at A, AB=AC=2 . Dot product of two vectors CB and AC equal
a)
42
b)
0
c)
4
d)
−4
3.
Find the angle between vectors <1,3> and <2,-5>.
a)
40.24°
b)
49.76°
c)
139.76°
d)
92.57°
4.
solve for the value of y
a)
13
b)
5
c)
23
d)
10
5.
Given u = <-9, 0> and v = <7, -4> find u - v
a)
<4,-16>
b)
<-16,4>
c)
<-2,-4>
d)
<-4,-2>
6.
Given the vector v = 3i -2j +6 k, the magnitude of a is:
a)
36
b)
49
c)
7
d)
6
7.
Given points A(3, 2, -4) and B(2, 1, -1), so the vector AB is
a)
i + 3j -5k
b)
-i -3j +3k
c)
i -j -5k
d)
-i -j +3k
8.
Vector a = 2i + 3j - 5k. What is the value of 3a?
a)
3i + 3j - 3k
b)
5i + 6j - 8k
c)
6i + 9j -15k
d)
6i + 6j - 15k
9.
Vectors a, b, c are defined as:
a = 2i + 5j; b = i - 3j; c = -3i - j. Answer all correct answers
a)
a + b = 3i + 8j
b)
a - b = i + 8j
c)
a + c = -i + 4j
d)
c - b = -5i + 6j
10.
Wind blowing at 20 mph.Vector or scalar?
a)
Scalar
b)
Vector
11.
How do you know if two vectors are orthogonal?
a)
Their sum is 0.
b)
The dot product is 1.
c)
The angle between them is 0°.
d)
The dot product is 0.
12.
Find the angle between vectors <1,3> and <2,-5>.
a)
40.24°
b)
49.76°
c)
139.76°
d)
92.57°
13.
Find the dot product of <1, -2> and <3, 2>.
a)
1
b)
<3, -4>
c)
<4, 0>
d)
-1
14.
Find the direction of the vector <-3, -5>.
a)
59.03°
b)
239.03°
c)
210.96°
d)
120.96°
15.
Find the magnitude of the vector <2, -3>.
a)
√11
b)
13
c)
√-4
d)
√13
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