1.Given three vectors V⃗1=ai^+bj^+ck^\vec{V}_1 = a\hat{i} + b\hat{j} + c\hat{k}V1=ai^+bj^+ck^, V⃗2=bi^+cj^+ak^\vec{V}_2 = b\hat{i} + c\hat{j} + a\hat{k}V2=bi^+cj^+ak^, V⃗3=ci^+aj^+bk^\vec{V}_3 = c\hat{i} + a\hat{j} + b\hat{k}V3=ci^+aj^+bk^. In which one of the following conditions are V⃗1\vec{V}_1V1, V⃗2\vec{V}_2V2, V⃗3\vec{V}_3V3 linearly independent?a.a+b+c=0a+b+c = 0a+b+c=0 and a2+b2+c2≠ab+bc+caa^2 + b^2 + c^2 \neq ab + bc + caa2+b2+c2=ab+bc+cab.a+b+c=0a+b+c = 0a+b+c=0 and a2+b2+c2=ab+bc+caa^2 + b^2 + c^2 = ab + bc + caa2+b2+c2=ab+bc+cac.a+b+c≠0a+b+c \neq 0a+b+c=0 and a2+b2+c2=ab+bc+caa^2 + b^2 + c^2 = ab + bc + caa2+b2+c2=ab+bc+cad.a+b+c≠0a+b+c \neq 0a+b+c=0 and a2+b2+c2≠ab+bc+caa^2 + b^2 + c^2 \neq ab + bc + caa2+b2+c2=ab+bc+caLogin to continueOnly logged in users canattempt or see the solution.
