Question

Show that:

$left parenthesis straight A with rightwards arrow on top times straight B with rightwards arrow on top right parenthesis squared plus left parenthesis straight A with rightwards arrow on top cross times straight B with rightwards arrow on top right parenthesis squared space equals space straight A squared straight B squared$

Solution

L.H.S = $space left parenthesis straight A with rightwards arrow on top times straight B with rightwards arrow on top right parenthesis squared plus left parenthesis straight A with rightwards arrow on top cross times straight B with rightwards arrow on top right parenthesis squared$
$space space equals left parenthesis AB space cosθ right parenthesis squared plus left parenthesis AB space sinθ right parenthesis squared$
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equals straight A squared straight B squared

= R.H.S
Hence proved

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Motion In A Plane

Some More Questions From Motion in A Plane Chapter

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?

Give two examples of polar vectors.

What are axial vectors?

Give two examples of axial vectors.

What are tensors?

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