Question
Find the vector equation of the line passing through the point having position vector $4 \hat{i}-\hat{j}+2 \hat{k}$ and parallel to vector $-2 \hat{i}-\hat{j}+\hat{k}$
✓
Answer
The equation of the line passing through $\mathrm{A}(\bar{a})$ and parallel to vector $\bar{b}$ is $\bar{r}=\bar{a}+\lambda \bar{b}$. The equation of the line passing through $4 \hat{i}-\hat{j}+2 \hat{k}$ and parallel to vector $-2 \hat{i}-\hat{j}+\hat{k}$ is $\bar{r}=(4 \hat{\imath}-\hat{j}+2 \hat{k})+\lambda(-2 \hat{i}-\hat{j}+\hat{k})$.
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
Write the degree of the differential equation $\frac{\text{d}^{2}\text{y}}{\text{dx}^2}+\text{x}\Big(\frac{\text{dy}}{\text{dx}}\Big)^{2}=2\text{x}^{2}\log\Big(\frac{\text{d}^{2}\text{y}}{\text{dx}^2}\Big).$
→Write the truth values of the following :4 is odd or 1 is prime.
$\int \frac{\log x}{x} d x$
→Using rules of negation write the negations of the following with justification. p ∧ ~q
Obtain the differential equation by eliminating the arbitrary constants from the following equations:
→$y=A e^{5 x}+B e^{-5 x}$
For what values of a and b if A = B, where$\text{A}=\begin{bmatrix}\text{a}+4&3\text{b}\\8&-6\end{bmatrix},\text{ B}=\begin{bmatrix}2\text{a}+2&\text{b}^2+2\\8&\text{b}^2-5\text{b}\end{bmatrix}$
→Integrate the following functions w.r.t. x:
$x^2\left(1-\frac{2}{x}\right)^2$
→$x^2\left(1-\frac{2}{x}\right)^2$
An urn contains 5 red and 2 black balls. Two balls are drawn at random. X denotes the number of black balls drawn. What are the possible values of X?
Evaluate the following:
→$\int \frac{\log x}{x} d x$
In the following switching circuit,: Write symbolic form
