Question

A star is located at < 3×1010, 7×1010, 2×1010 > m. A planet is located at < - 5×1010, - 4×1010, 7×1010 > m. What is the vector pointing from the star to the planet? (in vector form) What is the vector r→ps pointing from the planet to the star?

Answer 1

Vector ponting from the star to the planet:

$<-8\cdot 10^{10},-11\cdot 10^{10}, 5\cdot 10^{10}>m$

Vector pointing from the planet to the star:

$<8\cdot 10^{10},11\cdot 10^{10}, -5\cdot 10^{10}>m$

Explanation:

Given two points with coordinates

$A(x_1,y_1,z_1)$

$B(x_2,y_2,z_2)$

The vector pointing from A to B is given by the coordinates

$AB (x_2-x_1, y_2-y_1, z_2-z_1)$

In this problem, we have:

Location of the star:

$s(3\cdot 10^{10},7\cdot 10^{10}, 2\cdot 10^{10})m$

Location of the planet:

$p(-5\cdot 10^{10},-4\cdot 10^{10},7\cdot 10^{10})m$

Therefore, the vector pointing from the star to the planet is

$sp=<(-5-3)\cdot 10^{10},(-4-7)\cdot 10^{10},(7-2)\cdot 10^{10}>=\\<-8\cdot 10^{10},-11\cdot 10^{10}, 5\cdot 10^{10}>m$

On the other hand, the vector ponting from the planet to the star is

$ps=<(3-(-5))\cdot 10^{10},(7-(-4))\cdot 10^{10},(2-7)\cdot 10^{10}>=\\<8\cdot 10^{10},11\cdot 10^{10}, -5\cdot 10^{10}>m$

Learn more about vectors:

brainly.com/question/2678571

brainly.com/question/4945130

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