Consider the binary operation* on the set {1, 2, 3, 4, 5} defined by a * b = min. {a, b}. Write theoperation table of the operation *.

9

Write the direction cosines of the vector

10

Write the intercept cut off by the plane
2x + y – z =5 on x–axis.

12

Prove the following:

OR

Find the value of

13

Using properties of determinants, prove that