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Vectors
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Find the scalar product of the vectors and .
bakjia 3 kib 6
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Which of the following is equal to?
2r
r r1.
rr 2.
2)( rr 3.
None of these4.
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Find the value of if the vectors and
are perpendicular.
FkFjia 63 kjiFb 32
F
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Find the angle between the vectors and .kia 3 kjib 32
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If , what is the magnitude of ?
kjia 23 a
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Two forces act upon an object. The first has magnitude 3 N in an easterly direction and the second has magnitude 4 N in a southerly direction. What is the direction of the resultant force?
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is the point (4,-2). Find . OP��������������
P
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is the point (3,2,-6). Find .P OP��������������
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What is the length of the vector ?kjia 23
21.
142.
63.
24.
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If two vectors are perpendicular then .0ba
1. True
2. False
3. Don’t know
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Does ?abba
1. Yes
2. No
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Find if and .
bakjib 32 kjia 36
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Enter the second component of if and .
bakjia 3 kib 2
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Find the area of a triangle with vertices at , and . 1,2,5 2,3,1 1,2,3
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What is the value of x?
θ
1. x= y cosθ
2. x= z sinθ
3. x= y sinθ
4. x= z cosθ
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A javelin is released with initial velocity Vo=13 m/s at an angle of 38° to the
horizontal. What is the vertical component of the initial velocity?
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If and ,what is ?
jip 6 jiq 3qp
ji 47 1.
112.
93.
ji 27 4.
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Which vectors must always start at the origin?
1. Unit vectors
2. Position vectors
3. Column vectors
4. None of these
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What is the position vector of the point with coordinates ? 4,2
ji 42 1.
ji 42 2.
ji 42 3.
ji 42 4.
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is the point (3,-1). Find the unit vector in the direction .
QOQ��������������
10
21.
ji 10
22.
ji10
1
10
3
3.
10
1
10
3
4.
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What is meant by the symbol ?j
1. It is the unit vector in the positive x-direction
2. It is the unit vector in the positive y-direction
3. It is a vector in the positive x-direction
4. It is a vector in the positive y-direction
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Consider the point P(3,2). What is the direction ratio of the vector ?OP
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P and Q have coordinates (-5,-1) and (1,2) respectively. Find the
direction cosines of .PQ
45
3,
45
6 1.
45
3,
45
62.
45
3,
45
6 3.
45
3,
45
64.
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Find for the two points and . 2,7A 1,2BAB
ji 91.
ji 92.
ji 35 3.
ji 35 4.