Specialist2023 Exam 2 Section A · Q17CAS active1 mark

Cross product with unknown components

Consider the vectors $\tvec{a} = \alpha\tvec{i} + \tvec{j} - \tvec{k}$ , $\tvec{b} = 3\tvec{i} + \beta\tvec{j} + 4\tvec{k}$ and $\tvec{c} = 2\tvec{i} - 7\tvec{j} + \gamma\tvec{k}$ , where $\alpha, \beta, \gamma \in R$ . If $\tvec{a} \times \tvec{b} = \tvec{c}$ , then

1 mark

\alpha = -2, \beta = -1, \gamma = -5

\alpha = -1, \beta = 2, \gamma = -1

\alpha = 1, \beta = -2, \gamma = -5

\alpha = -2, \beta = -1, \gamma = -1

\alpha = 1, \beta = -2, \gamma = 5

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