Question

find the ratio in which the segment joining the point (1,2,3) and (4,6,-5) is divided by the ZOX-plane​

Answer 1

Step-by-step explanation:

Let the YZ plane divide the line segment joining points (−2,4,7) and (3,−5,8) in the ratio k:1.

Hence, by section formula, the coordinates of point of intersection are given by

(

k+1

k(3)−2

,

k+1

k(−5)+4

,

k+1

k(8)+7

)

On the YZ plane, the x-coordinate of any point is zero.

⇒

k+1

3k−2

=0

⇒3k−2=0

⇒k=

3

2

Thus, the YZ plane divides the line segment formed by joining the given points in the ratio 2:3.plz follw me and Mark me braiist

Answer 2

Answer:

Let the YZ plane divide the line segment joining points (−2,4,7) and (3,−5,8) in the ratio k:1.

Hence, by section formula, the coordinates of point of intersection are given by 

(k+1k(3)−2,k+1k(−5)+4,k+1k(8)+7)

On the YZ plane, the x-coordinate of any point is zero.

⇒k+13k−2=0

⇒3k−2=0

⇒k=32

Thus, the YZ plane divides the line segment formed by joining the given points in the ratio 2:3.

Step-by-step explanation:

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