Alpha Question Bank for Engineering: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise - 1>Q 53

EASY

JEE Main/Advance

IMPORTANT

Earn 100

Rain is falling vertically downwards with a speed of $5 m s^{- 1}$ . If unit vector along upward direction is defined as $\hat{j}$ , then representation of the velocity of rain in vector form is $x \hat{j}$ . Find $x$ .

50% studentsanswered this correctly

Important Questions on Mathematical Tools in Physics

EASY

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise - 1>Q 54

A vector of magnitude

30 m

and direction eastwards is added with another vector of magnitude

40 m

and direction northwards. If the magnitude of the resultant is

x m

and the angle made by the direction of the resultant with the east is

θ °

, Find the value of

2 x + θ

.

EASY

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise - 1>Q 55

Two vectors

\vec{a}

and

\vec{b}

, inclined at an angle

θ

with respect to each other, have a resultant

\vec{c}

, which makes an angle

β

with

\vec{a}

. If the directions of

\vec{a}

and

\vec{b}

are interchanged, then, the resultant will have the same,

EASY

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise - 1>Q 56

Two vectors

\vec{A}

and

\vec{B}

lie in a plane. Another vector

\vec{C}

lies outside this plane (this plane is not parallel to the plane containing

\vec{A}

and

\vec{B}

). The resultant

\vec{A} + \vec{B} + \vec{C}

of these three vectors

EASY

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise - 1>Q 57

The vector sum of the forces of

10 N

and

6 N

can be,

EASY

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise - 1>Q 58

A set of vectors taken in a given order gives a closed polygon. Then, the resultant of these vectors is a

EASY

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise - 1>Q 59

The vector sum of two forces,

P

and

Q

, is minimum when the angle

θ

between their positive directions, is,

EASY

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise - 1>Q 60

The vector sum of two vectors,

\vec{A}

and

\vec{B}

, is maximum. Then, the angle

θ

between the two vectors is,

EASY

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise - 1>Q 61

Given

: \vec{C} = \vec{A} + \vec{B}

. Also, the magnitudes of

\vec{A}, \vec{B}

and

\vec{C}

are

12, 5

and

13

units, respectively. The angle between

\vec{A}

and

\vec{B}

is,