The lines r- - -1- 2- 5 - k-1- 2- 5- k - R and r- - -3- 1- 5 - k-3-1- 5 - k -3- 1- 5- k - R are

Calculate the valency factor of the following:
(i) Ca $\to$ ${C a}^{2 +}$ + 2 $e^{-}$
(ii)K $\to$ $K^{+}$ + $e^{-}$
(iii) ${M n}^{7 +}$ + 5 $e^{-}$ $\to$ ${M n}^{2 +}$

Q. Find the angle between the line

^r = (^i + 2^j -^k) + λ (^i -^j + k)

and the plane

¯ r . (2^i -^j +^k) = 4.

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The lines ¯r=(−1,2,5)+k(−1,2,5),k∈R and ¯r=(−3,1,5)+k(−3,1,5)+k(−3,1,5),k∈R are ______

The correct option is B coplanarThe direction of two lines are (−1,2,5) and (−3,1,5)The direction of points (−1,2,5) and (−3,1,5) is (2,1,0)Determinant of these direction is-∣∣ ∣∣−125−315210∣∣ ∣∣=−1(0−5)−2(0−10)+5(−3−2)=0Hence, The given lines are coplanar.

The lines $¯ r = (- 1, 2, 5) + k (- 1, 2, 5), k \in R$ and $¯ r = (- 3, 1, 5) + k (- 3, 1, 5) + k (- 3, 1, 5), k \in R$ are ______