Command last updated 23/11/2022.
scalares(a, b)
Returns the scalar resolute of a in the direction of b.
Find \(\alpha\) for which the scalar resolute of \(3\boldsymbol{\hat{\imath}} + 2\boldsymbol{\hat{\jmath}} + \alpha\boldsymbol{\hat{k}}\) in the direction of \(4\boldsymbol{\hat{\imath}} - \boldsymbol{\hat{\jmath}} + \alpha^2 \boldsymbol{\hat{k}}\) equals \(\dfrac{74}{\sqrt{273}}\). (2016 Specialist Exam 2 Section A Question 11)
![solve(scalares([3,2,alpha], [4,-1,alpha&2])=74/sqrt(273), alpha)](/files/scalares.png)