If and then what is the angle between - Wired Faculty

Motion In A Plane

Question

If $space space straight R with rightwards arrow on top equals straight A with rightwards arrow on top plus straight B with rightwards arrow on top$ and $open vertical bar straight R with rightwards arrow on top close vertical bar space equals space open vertical bar straight A with rightwards arrow on top close vertical bar space equals space open vertical bar straight B with rightwards arrow on top close vertical bar$ then what is the angle between $straight A with rightwards arrow on top space and space straight B with rightwards arrow on top ?$

Solution

Let $straight theta$ be the angle between $straight A with rightwards arrow on top space and space straight B with rightwards arrow on top.$
∴ Resultant is given by,
$open vertical bar straight R with rightwards arrow on top close vertical bar space equals space open vertical bar straight A with rightwards arrow on top plus straight B with rightwards arrow on top close vertical bar space equals space square root of straight A squared plus straight B squared plus 2 AB thin space cosθ end root$
$straight R squared space equals space straight A squared plus straight B squared plus 2 AB space cosθ$
Hence, R = A = B
Thus, $straight A squared equals straight A squared plus straight A squared plus 2 straight A squared cosθ$

$rightwards double arrow$ $cosθ equals negative 1 half$
$rightwards double arrow$ $straight theta equals 120 degree$ , is the required angle between them.

Some More Questions From Motion in A Plane Chapter

Pick out the only vector quantities in the following list:
Temperature, pressure, impulse, time, power, total path length, energy, gravitational potential, coefficient of friction and charge.

Pick out the two scalar quantities in the following list:
force, angular momentum, work, current, linear momentum, electric field, average velocity, magnetic moment, reaction as per Newton’s third law, relative velocity.

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Motion In A Plane

Some More Questions From Motion in A Plane Chapter

Give three examples of scalar quantities.

Give three examples of vector quantities.

What are the basic characteristics that a quantity must possess so that it may be a vector quantity?

Is a physical quantity, having a direction, necessarily a vector?

Name a quantity which is both scalar as well as vector.

Which of the followings is/are vector quantities: work, power, acceleration, mass, momentum?

Pick up the odd one from the following: force, linear momentum, mass, impulse.

Pick out the only vector quantities in the following list:
Temperature, pressure, impulse, time, power, total path length, energy, gravitational potential, coefficient of friction and charge.

Pick out the two scalar quantities in the following list:
force, angular momentum, work, current, linear momentum, electric field, average velocity, magnetic moment, reaction as per Newton’s third law, relative velocity.

What are polar vectors?

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For Daily Free Study Material Join wiredfaculty

Motion In A Plane

If and then what is the angle between

Some More Questions From Motion in A Plane Chapter

Give three examples of scalar quantities.

Give three examples of vector quantities.

What are the basic characteristics that a quantity must possess so that it may be a vector quantity?

Is a physical quantity, having a direction, necessarily a vector?

Name a quantity which is both scalar as well as vector.

Which of the followings is/are vector quantities: work, power, acceleration, mass, momentum?

Pick up the odd one from the following: force, linear momentum, mass, impulse.

Pick out the only vector quantities in the following list:Temperature, pressure, impulse, time, power, total path length, energy, gravitational potential, coefficient of friction and charge.

Pick out the two scalar quantities in the following list: force, angular momentum, work, current, linear momentum, electric field, average velocity, magnetic moment, reaction as per Newton’s third law, relative velocity.

What are polar vectors?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Pick out the only vector quantities in the following list:
Temperature, pressure, impulse, time, power, total path length, energy, gravitational potential, coefficient of friction and charge.

Pick out the two scalar quantities in the following list:
force, angular momentum, work, current, linear momentum, electric field, average velocity, magnetic moment, reaction as per Newton’s third law, relative velocity.