Neco Model Questions Vol1 2023 Mathematics Question 22

Practice objective / multiple choice question 22 from the 2023 Neco Model Questions Vol1 Mathematics examination.

Neco Model Questions Vol1 2023 Mathematics Objective / Multiple Choice Hard Difficulty
Question 22 NECO_MODEL_QUESTIONS_VOL1 • 2023 • MATHEMATICS • objective

Vector \(\mathbf{p}=3\mathbf{i}-4\mathbf{j}\) and vector \(\mathbf{q}=a\mathbf{i}+b\mathbf{j}\) are in the same plane. Their resultant \(\mathbf{r}=\mathbf{p}+\mathbf{q}\) has magnitude \(10\) and makes an angle of \(30^{\circ}\) with the positive \(x\)-axis. Find the ordered pair \((a,b)\).

Answer Options

Correct Answer A. a = 5\sqrt{3} - 3, \; b = 9
B. a = 5\\sqrt{3} - 6, \\; b = 9
C. a = 5\\sqrt{3} - 3, \\; b = -9
D. a = 5\\sqrt{3} + 3, \\; b = 9
Correct Answer
A
Correct Option:
a = 5\sqrt{3} - 3, \; b = 9

About This Question

This is Neco Model Questions Vol1 2023 Mathematics Question 22. It is one of the objective questions from the 2023 Neco Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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