JustHereForAnswers's answer to Rachel's Junior College 1 H2 Maths Singapore question.

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JustHereForAnswers
Justhereforanswers's answer
1 answers (A Helpful Person)
1st
Hopefully it’s correct
Rachel
Rachel
4 years ago
Yup its correct, thank u!
Rachel
Rachel
4 years ago
May i know how you get the eqn of the line for the second line?
JustHereForAnswers
JustHereForAnswers
4 years ago
For the second line OB, they said line OB. For a line, it must consist of a point and direction vector which in this case is the origin so (0,0,0) and the direction vector is simply OB direction which is given
JustHereForAnswers
JustHereForAnswers
4 years ago
Is this the one you’re asking ?^
Rachel
Rachel
4 years ago
Yup but i was wondering where the (2,1,2) came from cos OB is (1,3,2) for second eqn
J
J
4 years ago
He's drawing a line from B to the plane such that this line is perpendicular to the plane.

The equation of the line has the fixed point B. The direction vector must be perpendicular to the plane so he's just using the plane's normal vector (2 1 2)

The point of intersection of this line and the plane will satisfy the equations of both.

Once this point is found, the vector from B to this point (which lies on the line, so this vector is perpendicular to the plane) can be found by subtracting OB from the position vector of this point. Its magnitude is simply the perpendicular distance from B to the point
Rachel
Rachel
4 years ago
Ohhhh ok!! I get it, thank u all so much!
J
J
4 years ago
Welcome