Vectors, Lines, and Functions Quiz

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Questions and Answers

What is the formula for calculating the scalar product of two vectors?

  • $\|a\| \div \|b\| \cos \theta$
  • $\|a\| + \|b\| \cos \theta$
  • $\|a\| - \|b\| \cos \theta$
  • $\|a\| \cdot \|b\| \cos \theta$ (correct)

In vector product, what is the result of multiplying two vectors?

  • A scalar quantity
  • A vector quantity (correct)
  • An imaginary quantity
  • A complex quantity

What is the standard form of the equation of a circle with radius $r$ and center at point $(h, k)$?

  • $(x+h)^2 + (y+k)^2 = r$
  • $(x-h)^2 + (y-k)^2 = r$
  • $(x-h)^2 + (y-k)^2 = r^2$ (correct)
  • $(x+h)^2 + (y+k)^2 = r^2$

Which of the following represents the equation of a line in slope-intercept form?

<p>$y = mx + c$ (C)</p> Signup and view all the answers

What is the process called when finding the rate of change of a function with respect to its variable?

<p>Differentiation (B)</p> Signup and view all the answers

For which type of product would you use the cross product operation in vector algebra?

<p>Vector product (A)</p> Signup and view all the answers

What is the angle between two vectors when their scalar product is zero?

<p>$90^\circ$ (B)</p> Signup and view all the answers

In which form can you represent a straight line using two-point coordinates $(x_1, y_1)$ and $(x_2, y_2)$?

<p>$(x-x_1)(y-y_1) = (x-x_2)(y-y_2)$ (A)</p> Signup and view all the answers

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