Question

1. The line e passes through the point P = (1,-1,1) and has direction vector a) Consider the plane Y defined by the following equation 4x + 5y- z =1

Find the normal vector for d=\left[\begin{array}{c} 4 \\ 5 \\ -1 \end{array}\right] what is the re1ationsnip between d and n? (Let t be a scalar) d = tn Determine whether e and P are parallel perpendicular , or neither. consider the plane P defined by the following equation 5 x-y+15 z=0 Find the normal vector for P n=\left[\begin{array}{c} ? \\ \vdots \\ ? \end{array}\right] what is the relationship between d and n? (Let t be a scalar) O d.n - 0 Od = tn O neither Determine whether e and P are parallel , perpendicular , or neither. neither メ -y-2= 3 n=\left[\begin{array}{l} ? \\ ? \\ ? \end{array}\right] what is the relationsnip between d and n? (Let t be a scalar) d.n : 0 d = tn Determine whether e and P are parallel , perpendicular, or neither. ) consider the plane Y defined by the following equation 8x + 10y - dz = 0 Find the normal vector for P. n=\left[\begin{array}{l} ? \\ ? \\ ? \end{array}\right] what is the relationship between d and n? (Let t be a scalar) O d·n : 0 O d = tn Determine whether e and Y are parallel , perpendicular , or neither. O neither ) consider the plane P defined by the following equation

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