Motion In A Plane

Question

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The angle between two linear transmembrane domains is defined by following vectors $a = \hat{i} + \hat{j} - \hat{k} and b = \hat{i} - \hat{j} + \hat{k}$

cos^-1 $(\frac{1}{3})$

cos^-1 $(\frac{- 1}{3})$

sin^-1 $(\frac{- 1}{3})$

sin^-1 $(\frac{1}{3})$

Solution

cos^-1 $(\frac{- 1}{3})$

The angle between two vectors is given by

cosθ = $\frac{a . b}{ab}$

= $\frac{1 - 1 - 1}{\sqrt{3} \times \sqrt{3}}$

⇒ cosθ = $- \frac{1}{3}$

⇒ $θ = \cos^{- 1} (- \frac{1}{3})$

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.

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

The angle between two linear transmembrane domains is defined by following vectors $a = \hat{i} + \hat{j} - \hat{k} and b = \hat{i} - \hat{j} + \hat{k}$

cos^-1 $(\frac{1}{3})$

cos^-1 $(\frac{- 1}{3})$

sin^-1 $(\frac{- 1}{3})$

sin^-1 $(\frac{1}{3})$

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.

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.

What are axial vectors?

Give two examples of axial vectors.

What are tensors?

Give one example of tensor.

What is module of vector?

What are equal vectors?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

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Motion In A Plane

The angle between two linear transmembrane domains is defined by following vectors a = i^ + j^ - k^ and b = i^ - j^ + k^ cos-1 13 cos-1 -13 sin-1 -13 sin-1 13

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.

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.

What are axial vectors?

Give two examples of axial vectors.

What are tensors?

Give one example of tensor.

What is module of vector?

What are equal vectors?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

The angle between two linear transmembrane domains is defined by following vectors $a = \hat{i} + \hat{j} - \hat{k} and b = \hat{i} - \hat{j} + \hat{k}$

cos^-1 $(\frac{1}{3})$

cos^-1 $(\frac{- 1}{3})$

sin^-1 $(\frac{- 1}{3})$

sin^-1 $(\frac{1}{3})$

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.