Question

$bold A with bold rightwards arrow on top bold space and bold space bold B with bold rightwards arrow on top$ are two vectors and θ is the angle between them if $vertical line bold A with bold rightwards arrow on top bold space straight x bold space bold B with bold rightwards arrow on top bold vertical line bold space equals bold space square root of bold 3 bold space bold left parenthesis bold A with bold rightwards arrow on top bold. bold B with bold rightwards arrow on top bold right parenthesis$ the value of θ is:

60^o

45^o

30^o

90^o

Solution

60^o

bold A with bold rightwards arrow on top bold space bold x bold space bold B with bold rightwards arrow on top bold space equals space AB space sin space space and space stack bold A bold. with bold rightwards arrow on top bold B with bold rightwards arrow on top bold space equals space AB space cos space straight theta. Given comma space vertical line bold A with bold rightwards arrow on top bold space bold x bold space bold B with bold rightwards arrow on top vertical line space equals space square root of 3 open parentheses stack bold A bold. with bold rightwards arrow on top bold B with bold rightwards arrow on top bold space close parentheses rightwards double arrow space AB space sin space space straight theta space equals square root of 3 space AB space cos space space straight theta tan space equals space square root of 3 space straight theta space equals space 60 to the power of 0

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.

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Pick up the odd one from the following: force, linear momentum, mass, impulse.

Pick out the only vector quantities in the following list:
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Motion In A Plane

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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For Daily Free Study Material Join wiredfaculty

Motion In A Plane

are two vectors and θ is the angle between them if the value of θ is: 60o 45o 30o 90o

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

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.