Question

Que. 3. find the position vector of midpoint M joining the point L( 7, -6, 12) and N( 5,4,-2) .​

Answer 1

SOLUTION

TO DETERMINE

The position vector of midpoint M joining the point L( 7, -6, 12) and N( 5,4,-2)

FORMULA TO BE IMPLEMENTED

The position vector of the mid-point of the line joining the points (x, y, z) and (a, b, c) is

$\displaystyle \sf { = \bigg( \: \frac{x + a}{2} \: , \: \frac{y + b}{2} \: , \: \frac{z + c}{2} \bigg)}$

EVALUATION

Here The position vector of the two points point L( 7, -6, 12) and N( 5,4,-2)

Hence the midpoint M is

$\displaystyle \sf { = \bigg( \: \frac{7+ 5}{2} \: , \: \frac{ - 6 + 4}{2} \: , \: \frac{12 - 2}{2} \bigg)}$

$\displaystyle \sf { = \bigg( \: \frac{12}{2} \: , \: \frac{ - 2}{2} \: , \: \frac{10}{2} \bigg)}$

$\displaystyle \sf { = \bigg( \: 6 \: , - 1 , \: 5 \bigg)}$

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LEARN MORE FROM BRAINLY

Divergence of r / r^3 is

(a) zero at the origin

(b) zero everywhere

(c) zero everywhere except the origin

(d) nonzero

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