Question

Calculate the value of icap-jcap

Answer 1

The value of vector A is $\sqrt2$

Explanation:

The vector is given as :

$A=\hat{i}-\hat{j}$

We need to find the value of vector A. The value or the magnitude of any vector can be calculated as :

$|A|=\sqrt{x^2+y^2}$

$|A|=\sqrt{(1)^2+(-1)^2}$

$|A|=\sqrt2$

So, the value of vector A is $\sqrt2$. Hence, this is the required solution.

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Topic : Vectors

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Answer 2

Given :

A vector , $\vec{A}=\hat{i}-\hat{j}$ .

To Find :

The magnitude of vector A .

Solution :

We know , the magnitude of any vector $\vec{A}=a\hat{i}+b\hat{j}$ is given by :

$|\vec{A}|=\sqrt{a^2+b^2}$

Here , a = 1 and b = -1 .

Therefore ,

$|\vec{A}|=\sqrt{(1)^2+(-1)^2}\\\\|\vec{A}|=\sqrt{2}$

Therefore , the magnitude of vector A is $\sqrt{2}$ .

Learn More :

Vectors

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