Neco 2023 Further Mathematics Question 8

Practice objective / multiple choice question 8 from the 2023 Neco Further Mathematics examination.

Neco 2023 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 8 NECO • 2023 • FURTHER_MATHEMATICS • objective

Let vectors \(\mathbf{A}= (1,2,-2)\) and \(\mathbf{B}= (x, y, z)\) satisfy the conditions: \(\mathbf{A}\cdot\mathbf{B}=6\), \(\mathbf{B}\) is perpendicular to \((2,-1,1)\), and \(|\mathbf{B}|=7\). Find the value of \(x\) and then determine the angle between \(\mathbf{A}\) and \(\mathbf{B}\) to the nearest degree.

Answer Options

Correct Answer A. x = 6/5; angle = 73°
B. x = 6/5; angle = 65°
C. x = 4/5; angle = 68°
D. x = 7/5; angle = 80°
Correct Answer
A
Correct Option:
x = 6/5; angle = 73°

About This Question

This is Neco 2023 Further Mathematics Question 8. It is one of the objective questions from the 2023 Neco Further Mathematics examination.

Difficulty level: Medium .

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