Gce Model Questions Vol1 2025 Further Mathematics Question 4
Practice objective / multiple choice question 4 from the 2025 Gce Model Questions Vol1 Further Mathematics examination.
Vectors $\mathbf{a}=\langle2,-1,3\rangle$ and $\mathbf{b}=\langle k,4,-2\rangle$ are given. Let $\mathbf{c}=\operatorname{proj}_{\mathbf{b}}\mathbf{a}+\mathbf{d}$, where $\mathbf{d}$ is perpendicular to $\mathbf{b}$ and has the same magnitude as $\operatorname{proj}_{\mathbf{b}}\mathbf{a}$. If $\mathbf{c}$ is orthogonal to $\mathbf{a}$, determine $k$ (to two decimal places) and then find the angle between $\mathbf{b}$ and $\mathbf{c}$ in degrees.
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This is Gce Model Questions Vol1 2025 Further Mathematics Question 4. It is one of the objective questions from the 2025 Gce Model Questions Vol1 Further Mathematics examination.
Difficulty level: Hard .
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