For what value of k will the following set of planes intersect in a line? x-2y-z = 0 x+9y-5z= 0 kx-y+z = 0

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We have to determine the value of k such that the three planes:

x - 2y - z = 0

x + 9y - 5z = 0

and kx - y + z = 0 intersect in a line.

If the three planes intersect in a line the rank of the coefficient matrix and the rank of the augmented matrix should be 2....

(The entire section contains 147 words.)

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