Vector u has a magnitude of 3 miles and is directed due east. Vector v has a magnitude
of 3 miles and is directed due north. What are the magnitude and the direction angle for
the resultant vector?

the magnitude and the direction angle for  the resultant vector is and north east .

Step-by-step explanation:

Here we have , Vector u has a magnitude of 3 miles and is directed due east. Vector v has a magnitude of 3 miles and is directed due north. We need to find What are the magnitude and the direction angle for  the resultant vector. Let's find out:

We know that for two vectors u , v the resultant vector magnitude is given by :

⇒ , where x is angle between two vectors

⇒

⇒

⇒

⇒

And , direction is given by :

⇒

⇒

⇒  

⇒  

Therefore , the magnitude and the direction angle for  the resultant vector is and north east .

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113.1

step-by-step explanation:

v=4

3πr3=4

3·π·33≈113.09734