At what condition? when the resultant vector is zero for more than three
What would be the position of a vector when its x-component is positive andy
Why a scalar quantity cannot be added or subtracted with a vector quantity
What are the characteristics of vectors addition?
When the resultant of two vectors is zero? Explain it with the help of diagram
STORT QUESTIONS
vectors acting simultaneously on a particle?
component is negative? Explain it with the help of a diagram
What change is occurred in a vector when it is multiplied by a negati
number?
Give any
three
8
7.
examples, when a vector is divided by a scalar quantity.
Under what circumstances the rectangular components of a vector gives
magnitude?
9.
Can the scalar product of two vector quantities be negative? If your ans
yes, give an example, if no provide a proof?
10. How scalar product of two vectors obeys commutative law?
11. Can any of the two rectangular components of a given vector have a ma
greater than the vector itself?
Answers
Answer:
By the end of this section, you will be able to:
Describe the difference between vector and scalar quantities.
Identify the magnitude and direction of a vector.
Explain the effect of multiplying a vector quantity by a scalar.
Describe how one-dimensional vector quantities are added or subtracted.
Explain the geometric construction for the addition or subtraction of vectors in a plane.
Distinguish between a vector equation and a scalar equation.
Many familiar physical quantities can be specified completely by giving a single number and the appropriate unit. For example, “a class period lasts 50 min” or “the gas tank in my car holds 65 L” or “the distance between two posts is 100 m.” A physical quantity that can be specified completely in this manner is called a scalar quantity. Scalar is a synonym of “number.” Time, mass, distance, length, volume, temperature, and energy are examples of scalar quantities.
Scalar quantities that have the same physical units can be added or subtracted according to the usual rules of algebra for numbers. For example, a class ending 10 min earlier than 50 min lasts
50
min
−
10
min
=
40
min
. Similarly, a 60-cal serving of corn followed by a 200-cal serving of donuts gives
60
cal
+
200
cal
=
260
cal
of energy. When we multiply a scalar quantity by a number, we obtain the same scalar quantity but with a larger (or smaller) value. For example, if yesterday’s breakfast had 200 cal of energy and today’s breakfast has four times as much energy as it had yesterday, then today’s breakfast has
4
(
200
cal
)
=
800
cal
of energy. Two scalar quantities can also be multiplied or divided by each other to form a derived scalar quantity. For example, if a train covers a distance of 100 km in 1.0 h, its speed is 100.0 km/1.0 h = 27.8 m/s, where the speed is a derived scalar quantity obtained by dividing distance by time.
Explanation:
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