In this section you
Vectors can be added graphically by
diagrams.
Vectors can be expressed as components.
- Uses
calcul
Use the
onto a
• Use ti
• Expla
natu
that they make an angle of 90° with each other. Find
We can also use the cosine rule
and the sine rule to work out
the magnitude and direction
of the sum of two vectors.
Consider two vectors a (5 m
along horizontal) and b (6 m
at an angle of 60° above the
horizontal).
Review questions
First draw a diagram showing
the vector addition,
1. Vector p is 6 m in the x-direction. Vector q is 10 m in the
y-direction.
a) Use the parallelogram method to work out p +9.
b) Use Pythagoras's theorem and trigonometry to work out
P - 9
Figure 2.24
We can use the cosine rule to
2. A car travels 3 km due North then 5 km East. Represent
calculate the magnitude of
these displacements graphically and determine the resultant
the resultant using
displacement.
c-vob - 2ab cos )
3. Two forces, one of 12 N and another of 24 N, act on a body in
where and b are the
the resultant of the two forces.
magnitudes of the two vectors
and c is the magnitudes of
4. Two cars A and B are moving along a straight road in the same
the resultant
direction with velocities of 25 km/h and 30 km/h, respectively.
We can then use the sine rule
Find the velocity of car B relative to car A.
to calculate the angie 8 of
5. Two aircraft P and Q are flying at the same speed, 300 m s.
the resultant vector
The direction along which Pis flying is at right angles to the
direction along which Q is flying. Find the magnitude of the
Vectors
a scalar,
such a way
Figure a
angle o
vector
its dire
If wel
form,
Mult
Answers
Answer:
'];.lok,gybhunjimopl.;/'l.k,One the greatest Indian warriors, Maharana Pratap was born on May 9 in the year 1540. Maharana Pratap was the ruler of Mewar, a province in modern day Rajasthan.
Pratap was the eldest son of Uday Singh II, founder of Udaipur, and Maharani Jaiwanta Bai. Renowned as a fearsome warrior and an excellent combat strategist, Pratap protected the Mewar region against repeated onslaughts from the Mughals.
Explanation:One the greatest Indian warriors, Maharana Pratap was born on May 9 in the year 1540. Maharana Pratap was the ruler of Mewar, a province in modern day Rajasthan.
Pratap was the eldest son of Uday Singh II, founder of Udaipur, and Maharani Jaiwanta Bai. Renowned as a fearsome warrior and an excellent combat strategist, Pratap protected the Mewar region against repeated onslaughts from the Mughals.
One the greatest Indian warriors, Maharana Pratap was born on May 9 in the year 1540. Maharana Pratap was the ruler of Mewar, a province in modern day Rajasthan.
Pratap was the eldest son of Uday Singh II, founder of Udaipur, and Maharani Jaiwanta Bai. Renowned as a fearsome warrior and an excellent combat strategist, Pratap protected the Mewar region against repeated onslaughts from the Mughals.