Show that:
$left parenthesis straight A with rightwards arrow on top minus straight B with rightwards arrow on top right parenthesis cross times left parenthesis straight A with rightwards arrow on top plus straight B with rightwards arrow on top right parenthesis space equals space 2 left parenthesis straight A with rightwards arrow on top cross times straight B with rightwards arrow on top right parenthesis$

Solution

L.H.S. = $left parenthesis straight A with rightwards arrow on top minus straight B with rightwards arrow on top right parenthesis cross times left parenthesis straight A with rightwards arrow on top plus straight B with rightwards arrow on top right parenthesis$
$equals straight A with rightwards arrow on top cross times straight A with rightwards arrow on top minus straight B with rightwards arrow on top cross times straight A with rightwards arrow on top plus straight A with rightwards arrow on top cross times straight B with rightwards arrow on top minus straight B with rightwards arrow on top cross times straight B with rightwards arrow on top$
$space space equals 0 plus straight A with rightwards arrow on top cross times straight B with rightwards arrow on top plus straight A with rightwards arrow on top cross times straight B with rightwards arrow on top minus 0 equals 2 left parenthesis straight A with rightwards arrow on top cross times straight B with rightwards arrow on top right parenthesis$

= R.H.S.
Hence, proved.

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?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

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Motion In A Plane

Show that:

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.