Vector Algebra Question 305
Question: If OP = 8 and $ \overrightarrow{OP} $ makes angles $ 45^{o} $ and $ 60^{o} $ with OX-axis and OY-axis respectively, then $ \overrightarrow{OP}= $
Options:
A) $ 8,(\sqrt{2}\mathbf{i}+\mathbf{j}\pm \mathbf{k}) $
B) $ 4,(\sqrt{2}\mathbf{i}+\mathbf{j}\pm \mathbf{k}) $
C) $ \frac{1}{4}(\sqrt{2}\mathbf{i}+\mathbf{j}\pm \mathbf{k}) $
D) $ \frac{1}{8}(\sqrt{2}\mathbf{i}+\mathbf{j}\pm \mathbf{k}) $
Show Answer
Answer:
Correct Answer: B
Solution:
- Trick : Here is the only vector $ 4(\sqrt{2}\mathbf{i}+\mathbf{j}\pm \mathbf{k}) $ , whose length is 8.
BETA
