Question

if vector is drawn from (-4,10,7) to
(3,-2,4) find magnitude​

Answer 1

Explanation:

√202 .................

Answer 2

Magnitude of a vector between two points is the shortest distance between them, often refer as the displacement.

So magnitude of the vector from (-4, 10,7) to (3, -2, 4) is :-

$\sqrt{ {( - 4 - 3})^{2} + (10 - ( - 2)) ^{2} + {(7 - 4)}^{2} }$

$\sqrt{ {( - 7)}^{2} + {(12)}^{2} + {(3)}^{2} }$

$\sqrt{49 + 144 + 9}$

$\sqrt{202}$

=14.2127 approx.