1.A vector of magnitude 51\sqrt{51}51 which makes equal angles with the vectors a⃗=13(i^−2j^+2k^)\vec{a} = \frac{1}{3}(\hat{i} - 2\hat{j} + 2\hat{k})a=31(i^−2j^+2k^), b⃗=15(−4i^−3k^)\vec{b} = \frac{1}{5}(-4\hat{i} - 3\hat{k})b=51(−4i^−3k^) and c⃗=j^\vec{c} = \hat{j}c=j^, isa.5i^−j^+5k^5\hat{i} - \hat{j} + 5\hat{k}5i^−j^+5k^b.−5i^+j^−5k^-5\hat{i} + \hat{j} - 5\hat{k}−5i^+j^−5k^c.−5i^+j^+5k^-5\hat{i} + \hat{j} + 5\hat{k}−5i^+j^+5k^d.−i^−j^+7k^-\hat{i} - \hat{j} + 7\hat{k}−i^−j^+7k^Login to continueOnly logged in users canattempt or see the solution.