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Scalars and Vectors ❖ Illustrative Examples 1) The vectors
and
have magnitude 3 units and 4 units respectively.
resultant of
and
. Find the magnitude and direction of
between
and
is the
when the angle
is 30o.
Data : P = 3 unit, Q = 4 unit,
= 30o
(Ans.
)
2) Two points A and B in space have the co-ordinates (2,-l,3) and (4,2,5) respectively. Find vector AB.
(Ans.
)] 3) What vector added to
and
will give a unit vector along negative y
– axis?
(Ans.
4) Find m if 5) If
and and
is the required vector.]
have the same directions. Find the angle between
(Ans.
and (Ans.
6) The angular momentum momentum
is a vector product of position vector
If
and
L.
and
)
and linear
(Ans.
7) Find the area o1'the parallelogram with adjacent sides formed by where
)
expressed in meter.
) and
.
(Ans.
)
❖ Theory Questions 1)
Define scalars and vectors. Give two examples of each.
2)
What is equal vector and null vector?
3)
What is triangle law of vector addition?
4)
What is law of polygon of vectors?
5)
State and prove parallelogram law of vector addition and determine magnitude and direction of resultant vector.
F.Y.J.C.
Scalars and Vectors