I want a correct solution, preferably without involving vectors :3

[sullen sparrow]

a quick heads up that it's preferable to not ask for solutions straight up

also, what have you tried

[sullen sparrow]

is this an AI translating tool or something

[pallid lodge]

yes, i can't write something without using LaTeX, so i used AI translating tool

[sullen sparrow]

sure, but I also just saw that you do not want vectors involved

I can't immediately grill a method without vectors atm

[pallid lodge]

There is a property stating that if a line 𝑎 is perpendicular to two intersecting lines 𝑐 and 𝑑, then 𝑎 is perpendicular to the plane containing 𝑐 and 𝑑

I wonder whether the converse of this property holds

Suppose a lies in plane (P), while b and c lie in plane (Q). The planes (P) and (Q) are perpendicular. Considering the converse of the property above: if a is only perpendicular to b, can we deduce that a is also perpendicular to c? In this case, there is not enough information to conclude that a is perpendicular to (Q)

[pallid lodge]

u can try with vector methods. btw, i think i need an image. Thanks