PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 3 - Vectors>Exercises>Q 36

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The vector sum of two forces are perpendicular to their vector difference.The forces are,

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Important Questions on Vectors

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PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 3 - Vectors>Exercises>Q 37

If a parallelogram is formed with two sides represented by vectors

\vec{a}

and

\vec{b}

, then

\vec{a} + \vec{b}

represented the

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PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 3 - Vectors>Exercises>Q 38

The resultant

\vec{C}

of

\vec{A}

and

\vec{B}

is perpendicular to

\vec{A}

. Also,

|\vec{A}| = |\vec{C}|

.The angle between

\vec{A}

and

\vec{B}

is,

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PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 3 - Vectors>Exercises>Q 39

Two forces

{\vec{F}}_{1} = 500 N

due east and

{\vec{F}}_{2} = 250 N

due north have their common initial point.

{\vec{F}}_{2} - {\vec{F}}_{1}

is,

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PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 3 - Vectors>Exercises>Q 40

The resultant of the three vectors $\vec{OA}$ , $\vec{OB}$ , and $\vec{OC}$ shown in figure is

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PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 3 - Vectors>Exercises>Q 41

Two vectors

\vec{a}

and

\vec{b}

are at an angle of

60^{o}

with each other. Their resultant makes an angle of

45^{o}

with

\vec{a}

. If

|\vec{b}| = 2

units, then

|\vec{a}|

is

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PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 3 - Vectors>Exercises>Q 42

The resultant of two vectors

\vec{P}

and

\vec{Q}

is

\vec{R}

. If the magnitude of

\vec{Q}

is doubled, the new resultant vector becomes perpendicular to

\vec{P}

. Then, the magnitude of

\vec{R}

is equal to,

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PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 3 - Vectors>Exercises>Q 43

A vector

\vec{A}

when added to the vector,

\vec{B} = 3 \hat{i} + 4 \hat{j}

fields a resultant vector that is in the positive

y -

direction and has a magnitude equal to that of

\vec{B}

. Find the magnitude of

\vec{A}

.

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PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 3 - Vectors>Exercises>Q 44

A B C D E F

is a regular hexagon with point

O

as centre. The value of

\vec{A B} + \vec{A C} + \vec{A D} + \vec{A E} + \vec{A F}

is,