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A And B Are Two Vectors and R Is The Resultant.\tFor What Angle Is IT Maximum\tFor What Angle Is It Minimum

Maheswar JM , 8 Years ago

Grade 11

4 Answers

Manas Shukla

Last Activity: 8 Years ago

R is maximum when angle between them is 0 degrees since they just get added.

R is minimum when vectors cancel out the effects of one another

angle between them being 180 degrees

Piyush Kumar Behera

Last Activity: 8 Years ago

@Manas Shukla how can you say that at $\theta$ =180 they cancel out each other ,It is not given that both are equal ,so the term “cancel out each other” doesnot suit.However it can be say that the net resaultant is decreased due to opposing vectors.

Piyush Kumar Behera

Last Activity: 8 Years ago

Here is another solution:

We know the expression for R=(A2+B2+2ABcos $\theta$ )½

As A2 & B2 are positive and constant so the value of R will be Maximum when cos $\theta$ is Maximum.

Hence cos $\theta$ is maximum at $\theta$ =0o so R is maximum at $\theta$ =0o.

Similarly cos $\theta$ is minimum at $\theta$ =180o so R is minimum at $\theta$ =180o.

If you are helped by my solution then please approve the solution to encourage me.

pradyumna choudhury

Last Activity: 8 Years ago

for angle to be maximum cos $\varnothing$ should be maximum

so as we know cos $\varnothing$ is maximum at 0 degree

cos $\o$ is minimum at 180 degree

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