Question

Good evening guys✌

Find the ratio in which YZ plane divides the line segment joining (-2,4,7) and (3,-5 ,8) . Also find the co-ordinate of the point????

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Answer 1

yz plane So x coordinate is 0

Let ratio be k:1

0 = k (3) + 1( -2))

3k -2 = 0

k= 2/3

So 2:3

y coordinate = 2( -5) + 3( 4)/ 2+3

= -10 +12 )/ 5 = 2/5

z coordinate = 2( 8) + 3( 7))/ 2+3

= 16 +21)/ 5 = 37/5