1.Let α⃗=3i^+j^\vec{\alpha} = 3\hat{i} + \hat{j}α=3i^+j^ and β⃗=2i^−j^+3k^\vec{\beta} = 2\hat{i} - \hat{j} + 3\hat{k}β=2i^−j^+3k^. If β⃗=β⃗1−β⃗2\vec{\beta} = \vec{\beta}_1 - \vec{\beta}_2β=β1−β2, where β⃗1\vec{\beta}_1β1 is parallel to α⃗\vec{\alpha}α and β⃗2\vec{\beta}_2β2 is perpendicular to α⃗\vec{\alpha}α, then β⃗1×β⃗2\vec{\beta}_1 \times \vec{\beta}_2β1×β2 is equal toa.12(−3i^+9j^+5k^)\frac{1}{2}(-3\hat{i} + 9\hat{j} + 5\hat{k})21(−3i^+9j^+5k^)b.3i^−9j^−5k^3\hat{i} - 9\hat{j} - 5\hat{k}3i^−9j^−5k^c.−3i^+9j^+5k^-3\hat{i} + 9\hat{j} + 5\hat{k}−3i^+9j^+5k^d.12(3i^−9j^+5k^)\frac{1}{2}(3\hat{i} - 9\hat{j} + 5\hat{k})21(3i^−9j^+5k^)Login to continueOnly logged in users canattempt or see the solution.
