A planet is located at < -5 e10, 8 e10, -1 e10 > m. A star is located at < 4 e10

Question

A planet is located at < -5e10, 8e10, -1e10 > m. A star is located at < 4e10, -2e10, 6e10 > m.style="font-family: verdana, helvetica, sans-serif; font-size: 13px; line-height: 20px;">color="red">style="font-family: verdana, helvetica, sans-serif; font-size: 13px; line-height: 20px;">color="red">style="font-family: verdana, helvetica, sans-serif; font-size: 13px; line-height: 20px;">color="red">style="font-family: verdana, helvetica, sans-serif; font-size: 13px; line-height: 20px;">color="red">style="font-family: verdana, helvetica, sans-serif; font-size: 13px; line-height: 20px;">color="red">style="font-family: verdana, helvetica, sans-serif; font-size: 13px; line-height: 20px;">color="red">style="font-family: verdana, helvetica, sans-serif; font-size: 13px; line-height: 20px;">

A planet is located at m. A star is located at m. What is r^ What is rvec , the From the star to the planet? What is the magnitude of r ? What is r , the unit vector (vector with magnitude 1) in the direction of r ?

Explanation / Answer

r= ((-5-4)*10^10 + (8-(-2))*10^10 + (-1-6)*10^10))

=<-9*10^10, 10*10^10 , -7*10^10> m

b)magnitude=(x^2+y^2+z^2)^0.5

=1.56*10^11 m

c) unit vector=<(-9/15.61 , 10/15.61 , -7/15.61>

=<-0.576,0.64,-0.4484>

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