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WorksheetsVECTOR Class XII
Total questions: 10
Worksheet time: 50mins
Name
Class
Date
1.
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
2.
Given the vector v = 3i -2j +6 k, the magnitude of a is:
a)
36
b)
49
c)
7
d)
6
3.
The vector 2 i + α j + k is perpendicular to the vector 2 i – j – k if
a)
α = 5
b)
α = – 5
c)
α = – 3
d)
α = 3
4.
The scalar projection of vector u=(-7,4) onto vector v=(4, -3) is
a)
8
b)
40
c)
-8
d)
-16
5.
Given an initial point A ( 2, 4 ) and terminal point B ( -8, 7 ), find the component form of the vector AB.
a)
〈-10,3〉
b)
〈-6,3〉
c)
〈10,11〉
d)
〈-6,-3〉
6.
u + v
a)
4i - j
b)
6i + j
c)
3j + 4j
d)
i + 6j
7.
v - w
a)
-6i + 2j
b)
6i - 2j
c)
2i - 6j
d)
-2i + 6j
8.
||2w - 3v||
a)
square root of 130
b)
square root of 40
c)
130
d)
40
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.
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
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