Question:
The dot products of a vector with the vector $(\hat{\mathrm{i}}+\hat{\mathrm{j}}-3 \hat{\mathrm{k}}),(\hat{\mathrm{i}}+3 \hat{\mathrm{j}}-2 \hat{\mathrm{k}})$ and $(2 \hat{\mathrm{i}}+\hat{\mathrm{j}}+4 \hat{\mathrm{k}})$ are 0,5 and 8 respectively. Find the vector.
Solution:
