Question: I am doing linear algebra practice questions and I keep getting the wrong answers for this one The line f passes through the point
I am doing linear algebra practice questions and I keep getting the wrong answers for this one


The line f passes through the point " = (1, -1, 1) and has direction vector d : UTA (a) Consider the plane & defined by the following equation. 4x + 5y - Z = 1 Find the normal vector for F. n What is the relationship between d and n? (Let t be a scalar.) od . n = 0 o d = tn neither Determine whether f and f are parallel, perpendicular, or neither. parallel o perpendicular neither (b) Consider the plane & defined by the following equation. 5x - y + 15z = 0 Find the normal vector for F. n = What is the relationship between d and n? (Let t be a scalar.) d . n = 0 o d = tn o neither Determine whether f and f are parallel, perpendicular, or neither. o parallel O perpendicular o neither(c) Consider the plane " defined by the following equation. x- y - Z =3 Find the normal vector for F. n = What is the relationship between d and n? (Let t be a scalar.) o d . n = 0 o d = tn neither Determine whether f and % are parallel, perpendicular, or neither. O parallel o perpendicular o neither (d) Consider the plane & defined by the following equation. 8x + 10y - 2z = 0 Find the normal vector for F. n = What is the relationship between d and n? (Let t be a scalar.) o d . n = 0 o d = tn O neither Determine whether f and " are parallel, perpendicular, or neither. o parallel O perpendicular o neither
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