Suppose, in a rectangular coordinate system, a vector A has its tail at the point a(-2,-3) and its tip at b(3, 9).Determine the distance between these two points. (Ans: 13 Units)

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Chapter2: Vectors
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NUMERICAL PROBLEMS
Suppose, in a rectangular coordinate system, a vector A has its tail at the point
a(-2,-3) and its tip at b(3, 9).Determine the distance between these two points.
nead
(Ans: 13 Units)
2. A certain corner of a room is selected as the origin of a rectangular coordinate
system. If an insect is crawling on an adjacent wall at a point having coordinates
(2,1), where the units are in metres, what is distance of the insect from this corner
of the room?
s. The
ent dire
(Ans: 2.2m)
ved
What is the unit vector in the direction of the vector A=4i+3j?
(41+3 ))
(Ans:
on a
magn
object
Two particles are located at r, = 3 i+ 7j and r2 =-2i +3j respectively. Find both the
magnitude of the vector (r2.r)and its orientation with respect to the x-axis.
[Ans: 6.4,219)
If a vector B is added to vector A, the result is 6i + j. If B is subtracted from A,
the result is -4 i+7 j. What is magnitude of vector A?
(Ans: 4.1)
ould th
6 Given that A =2 i+3j and B = 3 i-4 j, find the magnitude and angle of
(a) C = A + B, and (b) D =3A-2 B.
(Ans: 5.1, 349°; 17,90°)
7. Find the angle between the two vectors, A =5 i+jand B = 2
i +4 j.
e body
(Ans: 52°)
8. Find the work done when the point of application of the force 3i +2 j moves in a
the
straight line from the point (2,-1) to the point (6,4).
mini
(Ans: 22 units)
weight
45
Transcribed Image Text:iteo e me cke NUMERICAL PROBLEMS Suppose, in a rectangular coordinate system, a vector A has its tail at the point a(-2,-3) and its tip at b(3, 9).Determine the distance between these two points. nead (Ans: 13 Units) 2. A certain corner of a room is selected as the origin of a rectangular coordinate system. If an insect is crawling on an adjacent wall at a point having coordinates (2,1), where the units are in metres, what is distance of the insect from this corner of the room? s. The ent dire (Ans: 2.2m) ved What is the unit vector in the direction of the vector A=4i+3j? (41+3 )) (Ans: on a magn object Two particles are located at r, = 3 i+ 7j and r2 =-2i +3j respectively. Find both the magnitude of the vector (r2.r)and its orientation with respect to the x-axis. [Ans: 6.4,219) If a vector B is added to vector A, the result is 6i + j. If B is subtracted from A, the result is -4 i+7 j. What is magnitude of vector A? (Ans: 4.1) ould th 6 Given that A =2 i+3j and B = 3 i-4 j, find the magnitude and angle of (a) C = A + B, and (b) D =3A-2 B. (Ans: 5.1, 349°; 17,90°) 7. Find the angle between the two vectors, A =5 i+jand B = 2 i +4 j. e body (Ans: 52°) 8. Find the work done when the point of application of the force 3i +2 j moves in a the straight line from the point (2,-1) to the point (6,4). mini (Ans: 22 units) weight 45
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