If the magnitude of the two forces are 2 and 3 and the magnitude of their scalar product is 3, then find the angle between the vectors. - Wired Faculty

Motion In A Plane

Question

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If the magnitude of the two forces are 2 and 3 and the magnitude of their scalar product is 3 $square root of 2$ , then find the angle between the vectors.

Solution

Here, A = 2; B = 3 and A. B = 3 $square root of 2$ ,
We know that,
A. B = AB cos $straight theta$
So, cos $straight theta$ = $fraction numerator straight A with rightwards harpoon with barb upwards on top space. space straight B with rightwards harpoon with barb upwards on top over denominator AB end fraction space equals space fraction numerator 3 square root of 2 over denominator 2 space cross times space 3 end fraction space equals space fraction numerator 1 over denominator square root of 2 end fraction$ = cos 45^o.
That is $straight theta$ = 45^o, is the angle between the vectors.

Some More Questions From Motion in A Plane Chapter

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.

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Motion In A Plane

If the magnitude of the two forces are 2 and 3 and the magnitude of their scalar product is 3 $square root of 2$ , then find the angle between the vectors.

Some More Questions From Motion in A Plane Chapter

What is a scalar quantity?

What is a vector quantity?

Give three examples of scalar quantities.

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.

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NCERT Sample Papers

Entrance Exams Preparation

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For Daily Free Study Material Join wiredfaculty

Motion In A Plane

If the magnitude of the two forces are 2 and 3 and the magnitude of their scalar product is 3, then find the angle between the vectors.

Some More Questions From Motion in A Plane Chapter

What is a scalar quantity?

What is a vector quantity?

Give three examples of scalar quantities.

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.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

If the magnitude of the two forces are 2 and 3 and the magnitude of their scalar product is 3 $square root of 2$ , then find the angle between the vectors.

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.