Coordinate Geometry and Vector Algebra Quiz
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Coordinate Geometry and Vector Algebra Quiz

Test your knowledge of coordinate geometry and vector algebra with this quiz. Explore topics such as slope and intercept of lines, equations of straight lines, angle between two lines, scalar and vector products, and equations of lines and planes in three dimensions. Sharpen your skills in calculating perpendicular distances and understanding the algebra of vectors.

Created by
@MagnanimousNirvana

Questions and Answers

What is the equation of the line passing through the points $(2, 3)$ and $(4, 7)$?

$y = 2x - 1$

What is the scalar product of vectors $\vec{a} = 2\hat{i} + 3\hat{j}$ and $\vec{b} = -\hat{i} + 4\hat{j}$?

10

What is the derivative of $f(x) = \frac{1}{x^2}$?

$f'(x) = -\frac{2}{x^3}$

What is the integral of $e^x \sin x$ with respect to $x$?

<p>$\frac{1}{2}e^x(\sin x - \cos x) + C$</p> Signup and view all the answers

What is the probability of getting a sum of 7 when rolling two fair six-sided dice?

<p>$\frac{1}{9}$</p> Signup and view all the answers

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