Question
Find a unit vector in the direction of $\overrightarrow{a} = 3\hat{i} - 2\hat{j} + 6\hat{k}$
✓
Answer
$\overrightarrow{a} = 3\hat{i} - 2\hat{j} + 6\hat{k}$Unit vector in the direction of $\overrightarrow{a} = \frac{\overrightarrow{a}}{\overrightarrow{|a|}}$
$= \frac{3\hat{i} - 2\hat{j} + 6\hat{k}}{\sqrt{3^{2} +(-2)^{2}+ 6^{2}}} = \frac{1}{7}(3\hat{i} - 2\hat{j} + 6\hat{k})$
$= \frac{3\hat{i} - 2\hat{j} + 6\hat{k}}{\sqrt{3^{2} +(-2)^{2}+ 6^{2}}} = \frac{1}{7}(3\hat{i} - 2\hat{j} + 6\hat{k})$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
If $f(x)=\int_{0}^{x} t \sin t d t$, then f'(x) is
→Let A and B be independent events with P(A) = 0.3 and P(B) = 0.4. Find P(B|A)
Evaluate $\int_{-1}^{1} 5 x^{4} \sqrt{x^{5}+1} d x$
→Determine the order and degree of the following differential equations. state also whether they are linear or non linear.
$\Big(\frac{\text{dy}}{\text{dx}}\Big)^3-4\Big(\frac{\text{dy}}{\text{dx}}\Big)^2+7\text{y}=\sin\text{x}$
→$\Big(\frac{\text{dy}}{\text{dx}}\Big)^3-4\Big(\frac{\text{dy}}{\text{dx}}\Big)^2+7\text{y}=\sin\text{x}$
Find the integral: $\int cosec x(cosec x+\cot x) d x$
→The interval in which $y = x^2 e^{–x}$ is increasing is
→If A and B are two events such that P(A) $\ne$ 0 and P(B|A) = 1, then
→In the figure which are the Equal vectors?
Write the degree of the differrntial equation $\Big(1+\frac{\text{dy}}{\text{dx}}\Big)^{3}=\Big(\frac{\text{d}^{2}\text{y}}{\text{dx}^{2}}\Big)^{2}.$
→ Classify the following measures as scalars and vectors.
10 kg.
10 kg.