Motion In A Plane

Question

If $\vec{A} and \vec{B}$ are non-zero vectors which obey the relation $|\vec{A} + \vec{B}| = |\vec{A} - \vec{B}|$ , then the angle between them is

0^o

60^o

90^o

120^o

Solution

90^o

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

⇒ ${|\vec{A}|}^{2} + {|\vec{B}|}^{2} + 2 |\vec{A}| |\vec{B}| cosθ = {|\vec{A}|}^{2} + {|\vec{B}|}^{2} - 2 |\vec{A}| |\vec{B}| cosθ$

⇒ cosθ = 0

⇒ θ = 90^o

Some More Questions From Motion in A Plane Chapter

Give three examples of vector quantities.

What are the basic characteristics that a quantity must possess so that it may be a vector quantity?

Is a physical quantity, having a direction, necessarily a vector?

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.

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Motion In A Plane

If $\vec{A} and \vec{B}$ are non-zero vectors which obey the relation $|\vec{A} + \vec{B}| = |\vec{A} - \vec{B}|$ , then the angle between them is

0^o

60^o

90^o

120^o

Some More Questions From Motion in A Plane Chapter

Give three examples of vector quantities.

What are the basic characteristics that a quantity must possess so that it may be a vector quantity?

Is a physical quantity, having a direction, necessarily a vector?

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.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

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Motion In A Plane

If A→ and B→ are non-zero vectors which obey the relation A→ + B→ = A→ - B→ , then the angle between them is 0o 60o 90o 120o

Some More Questions From Motion in A Plane Chapter

Give three examples of vector quantities.

What are the basic characteristics that a quantity must possess so that it may be a vector quantity?

Is a physical quantity, having a direction, necessarily a vector?

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.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

If $\vec{A} and \vec{B}$ are non-zero vectors which obey the relation $|\vec{A} + \vec{B}| = |\vec{A} - \vec{B}|$ , then the angle between them is

0^o

60^o

90^o

120^o

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.