Vector Algebra

$\frac{1}{3}(4 \hat{\mathbf{i}}-5 \hat{\mathbf{j}}+7 \hat{\mathbf{k}})$

$\frac{1}{3}(8 \hat{\mathbf{i}}-13 \hat{\mathbf{j}}-\hat{\mathbf{k}})$

$\frac{2}{3}(\hat{\mathbf{i}}-2 \hat{\mathbf{j}}-2 \hat{\mathbf{k}})$

$\frac{1}{7}(\hat{\mathbf{i}}-5 \hat{\mathbf{j}}-17 \hat{\mathbf{k}})$