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The two-point charges $q_{1}$ and $q_{2}$ are placed at $(0, 0, 0)$ and $(1, 2, 2) m$ , respectively. They repel each other with a force of $3 N$ . The force on the $q_{2}$ due to $q_{1}$ is $\vec{F_{21}} = (x \hat{i} + y \hat{j} + z \hat{k}) N$ . Find the value of $x + y + z$ .

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Important Questions on Vectors

MEDIUM

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 3 - Vectors>Exercises>Q 6

Four forces are acting on a particle. One force of magnitude

3 N

is directed upward, another is directed

37 °

East of North having the magnitude

5 N

, third is directed in South-West direction is of magnitude

4 \sqrt{2} N

and fourth force is

\sqrt{5 n} N

. If the particle is in equilibrium. Find the value of

n

EASY

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 3 - Vectors>Exercises>Q 7

\vec{a} = 2 \hat{i} - 3 \hat{j} + \hat{k}

and

\vec{b} = x \hat{i} + \hat{j} + \hat{k}

are mutually perpendicular, Find the value of

x

MEDIUM

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 3 - Vectors>Exercises>Q 8

Find the volume of parallelepiped

(in m^{3})

whose edges are represented by

a = (2 \hat{i} - 3 \hat{j} + 4 \hat{k}) m

b = (\hat{i} + 2 \hat{j} - \hat{k}) m

and

c = (3 \hat{i} - \hat{j} + 2 \hat{k}) m

MEDIUM

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 3 - Vectors>Exercises>Q 9

\vec{A} = 2 \hat{i} - \hat{j} + \hat{k}

\vec{B} = \hat{i} + 2 \hat{j} - 3 \hat{k}

and

\vec{C} = 3 \hat{i} - y \hat{j} + 5 \hat{k}

are coplanar. Find the value of

y

EASY

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 3 - Vectors>Exercises>Q 10

A force of

1000 N

in a particular direction must be applied to a block. For same reason. It is not possible to apply the force in that direction but two forces can be applied to

30^{°}

and

45^{°}

on either side of it in the same plane containing the given force. If the ratio of magnitude of forces as

\sqrt{n}

. Find the value of

n

MEDIUM

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 3 - Vectors>Archives>Q 2

A small particle of mass $m$ is projected at an angle $θ$ with the $x$ -axis with an initial velocity $v_{0}$ in the $x - y$ plane as shown in the figure. At a time $t < \frac{v_{0} sinθ}{g},$ the angular momentum of the particle is

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MEDIUM

JEE Advanced

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PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 3 - Vectors>Archives>Q 4

A particle is moving with velocity

\vec{v} = K (y i + x j),

where

K

is a constant. The general equation for its path is

EASY

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 3 - Vectors>Archives>Q 5

A projectile is given an initial velocity of

(\hat{i} + 2 \hat{j}) m / s

where

\hat{i}

is along the ground and $\hat{j}$ is along the vertical. If

g = 10 m / s^{2},

the equation of its trajectory is

The two-point charges q1 and q2 are placed at 0, 0, 0 and 1, 2, 2 m, respectively. They repel each other with a force of 3 N. The force on the q2 due to q1 is F21→=xi^+yj^+zk^ N. Find the value of x+y+z.

Important Questions on Vectors

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The two-point charges $q_{1}$ and $q_{2}$ are placed at $(0, 0, 0)$ and $(1, 2, 2) m$ , respectively. They repel each other with a force of $3 N$ . The force on the $q_{2}$ due to $q_{1}$ is $\vec{F_{21}} = (x \hat{i} + y \hat{j} + z \hat{k}) N$ . Find the value of $x + y + z$ .