Question

If the unit vectors and are inclined at an angle such that , then lies in the interval

Hint:

### We are given the angle between two unit vectors. It is 2θ. We are given one condition. We have to find the interval in which θ lies.

## The correct answer is:

### The given condition is

and are unit vectors.

|| = 1

|| = 1

2θ is the angle between two given vectors.

The dot product of the given vectors is given as below.

Now, we will use the given condition to solve further.

We know that

This is the final answer.

For an interval, square bracket denotes close bracket and parantheses means open bracket. Close bracket means that point is included in the interval. Opem bracket means the point is not included in the interval.

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Assertion If then

Reason If is a homogeneous function in of degree ' ' then

For such questions, we should know the formulas related to homogeneous equation. Before solving the equation, we have to see if the given function is a homegenous function. A homegenous function has same degree for all its terms.

Assertion If then

Reason If is a homogeneous function in of degree ' ' then

For such questions, we should know the formulas related to homogeneous equation. Before solving the equation, we have to see if the given function is a homegenous function. A homegenous function has same degree for all its terms.