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

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IMPORTANT

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The resultant of two vectors $\vec{A}$ and $\vec{B}$ is perpendicular to the vector $\vec{A}$ and its magnitude is equal to half of the magnitude of vector $\vec{B}$ . The angle between $\vec{A}$ and $\vec{B}$ is ___.

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Important Questions on Vectors

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JEE Advanced

IMPORTANT

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

Two forces, each equal to $F$ , act as shown in figure. Their resultant is,

Question Image

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IMPORTANT

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

A vector

\vec{A}

is

2 cm

long and is

60 °

above the

x -axis

in the first quadrant and vector

\vec{B}

is

2 cm

long and is

60 °

below the

x -axis

in the fourth quadrant. The sum

A + B

is a vector of magnitude,

EASY

JEE Advanced

IMPORTANT

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

What is the angle between two vector forces of equal magnitude such that their resultant is one-third of either of the original forces?

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IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 3 - Vectors>Exercises>Q 12

The projection of a vector

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

on the

x - y

plane has magnitude

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IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 3 - Vectors>Exercises>Q 13

If

|\vec{A} + \vec{B}| = |\vec{A}| + |\vec{B}|

, then the angle between

\vec{A}

and

\vec{B}

is,

EASY

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 3 - Vectors>Exercises>Q 14

If vectors

\vec{A} = \hat{i} + 2 \hat{j} + 4 \hat{k}

and

\vec{B} = 5 \hat{i}

represents the two sides of a triangle, then the third side of the triangle can have length equal to

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IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 3 - Vectors>Exercises>Q 15

Given

|{\vec{A}}_{1}| = 2

,

|{\vec{A}}_{2}| = 3

and

|{\vec{A}}_{1} + {\vec{A}}_{2}| = 3

. Find the value of

({\vec{A}}_{1} + 2 {\vec{A}}_{2}) . (3 {\vec{A}}_{1} - 4 {\vec{A}}_{2})

.

EASY

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 3 - Vectors>Exercises>Q 16

Three vectors

\vec{A}

,

\vec{B}

,

\vec{C}

satisfy the relation

\vec{A} . \vec{B} = 0

and

\vec{A} . \vec{C} = 0

. The vector

\vec{A}

is parallel to