Vectors and matrices — Question 5
QCAA 2021, Paper 2 · 1 mark
Q5 · 2021 · Technology-activeSimple familiar1 mark
QUESTION 5
A vector normal to the plane that contains the vectors 130 and 102 is (A)6i^+2j^+3k^ (B)6i^+2j^−3k^ (C)6i^−2j^+3k^ (D)6i^−2j^−3k^ WORKED SOLUTION
Answer D
1 markWorked solution
A normal vector is the cross product (1,3,0)×(1,0,2)=(6,−2,−3), which corresponds to option D. Worked explanation by QCE Vault; correct option verified against the QCAA answer key.
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