1.Given A⃗=3i^+j^−2k^\vec{A} = 3\hat{i} + \hat{j} - 2\hat{k}A=3i^+j^−2k^ and B⃗=4i^−2j^−6k^\vec{B} = 4\hat{i} - 2\hat{j} - 6\hat{k}B=4i^−2j^−6k^, find the unit vector along C⃗=A⃗+B⃗\vec{C} = \vec{A} + \vec{B}C=A+B.a.7i^−j^+8k^114\dfrac{7\hat{i} - \hat{j} + 8\hat{k}}{\sqrt{114}}1147i^−j^+8k^b.7i^−j^−8k^114\dfrac{7\hat{i} - \hat{j} - 8\hat{k}}{\sqrt{114}}1147i^−j^−8k^c.7i^+j^−8k^104\dfrac{7\hat{i} + \hat{j} - 8\hat{k}}{\sqrt{104}}1047i^+j^−8k^d.7i^−j^−8k^104\dfrac{7\hat{i} - \hat{j} - 8\hat{k}}{\sqrt{104}}1047i^−j^−8k^Login to continueOnly logged in users canattempt or see the solution.