Determine it the vectors v = [-2 3] and w = [5 4] are orthogonal. Find the vecto

Question

Determine it the vectors v = [-2 3] and w = [5 4] are orthogonal. Find the vector and para. eq. of the line with points p = (-2, 1, 5) and Q = (3, 0, -7). Find the normal and general eq, of the force with normal vector = [1 2 -5] and point p = (-3, 0, 4). Given the RREF of the augmented matrix, write the sol. of the linear system. [1 0 0 0 1 0 0 0 1|3 -2 0] b. [1 0 -2 5 0 1 0 -3 0 0 0 0|4 -7 0] c. [1 0 0 0 1 0 0 0 0|0 1 2] Solve the linear sys -x + 2y - 3z = 4 2x - 2y + 4z = -6 -3x + 5y + 2z = 1

Explanation / Answer

(2)

if these two vector are orthogonal then dot product of these two is 0

V U = <-2 ,3> <1,4>

= -2 + 12

= 10

since the dot product of u and v are not equal to 0

therefore they are orthogonal to eachother

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