Question 3 Determine for what values of the parameter a ? the following planes i

Question

Question 3

Determine for what values of the parameter a ? the following planes in R^3R 3 are perpendicular

eq1: ax - 20y + 10z = -1

ew2: ax + ay + 10z = -15.

?x?20y+10z=?1, ?x+?y+10z=?15. Write your answer in the form { a,b} or { a}{a} ?x?20y+10z=?1, ?x+?y+10z=?15. Write your answer in the form { a,b} or { a}{a} ?x?20y+10z=?1, ?x+?y+10z=?15. Write your answer in the form { a,b} or { a}{a} ?x?20y+10z=?1, ?x+?y+10z=?15. Write your answer in the form { a,b} or { a}{a} ?x?20y+10z=?1, ?x+?y+10z=?15. Write your answer in the form { a,b} or { a}{a}

Explanation / Answer

Condition for perpendicularity is scalar (dot) product should be zero

=>

1.1     Factoring a2-20a+100

The first term is, a2 its coefficient is 1 .
The middle term is, -20a its coefficient is 1 .
The last term, "the constant", is +100

Step-1 : Multiply the coefficient of the first term by the constant 1

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