Multiplying  $2\widehat{\mathrm{i}}+7\widehat{\mathrm{j}}$  by 5 gives$10\widehat{\mathrm{i}}+\mathrm{x}\widehat{\mathrm{j}}$   then x value ______

Solution:

When  $2\widehat{\mathrm{i}}+7\widehat{\mathrm{j}}$ is multiplied by 5, both the components get multiplied by 5. Hence, the answer is  .$10\widehat{\mathrm{i}}+35\widehat{\mathrm{j}}$