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  • Explain Solution R.D. Sharma Class 12 Chapter 22 Algebra of Vectors Exercise Very Short Answer Type Question 34 Maths Textbook Solution.

Explain Solution R.D. Sharma Class 12 Chapter 22 Algebra of Vectors  Exercise Very Short Answer Type Question 34 Maths Textbook Solution.

Answers (1)

Answer: \frac{1}{2}

Hint: You must know the rules of vector functions

Given: What is the cosine of angle with vector \sqrt{2\hat{i}}+\hat{j}+\hat{k} makes with y – axis

Solution: \sqrt{2\hat{i}}+\hat{j}+\hat{k}

Direction cosines are

\begin{aligned} &\frac{\sqrt{2}}{\sqrt{(\sqrt{2})^{2}+(1)^{2}+(1)^{2}}}, \frac{1}{\sqrt{(\sqrt{2})^{2}+(1)^{2}+(1)^{2}}}=\frac{1}{\sqrt{(\sqrt{2})^{2}+(1)^{2}+(1)^{2}}} \\ \end{aligned}

\begin{aligned} &\text { OR } \frac{1}{\sqrt{2}}, \frac{1}{2}, \frac{1}{2} \end{aligned}

∴ Cosine angle along y-axis is \frac{1}{2}

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