MTH301 Quiz 1 Set 2

Q1. Two surfaces are said to be orthogonal at the point of their intersection if their normals at that point are

1. in opposite direction
2. Overlapping
3. Parallel
4. Perpendicular

Correct answer: Perpendicular

Q2. If two dogs are pulling a bone with force=20Newtons in opposite direction, then the resultant force is---------

1. -40 Newton
2. 40 Newton
3. Zero Newton
4. -20 Newton

Correct answer: Zero Newton

Q3. Two vectors cannot have the same magnitude.

1. False
2. True

Correct answer: False

Q4. Two vectors A and B are ________ if one vector A is scalar multiple of the other vector B.

1. parallel
2. opposite
3. perpendicular
4. equal

Correct answer: parallel

Q5. Gradient of a scalar function always results in a......function.

1. discontinuous
2. continuous
3. vector
4. scalar

Correct answer: vector

Q6. If f has a local maximum or minimum at c, then c is a ____________ of f

1. critical number
2. maximum number
3. None of these
4. minimum number

Correct answer: critical number

Q7. Given a function f(x,y), what is the definition of normal line to the surface z=f(x,y)?

1. A line parallel to the x-axis
2. A line perpendicular to the tangent plane at a point on the surface
3. A line that lies entirely in the tangent plane
4. A line parallel to the y-axis

Correct answer: A line perpendicular to the tangent plane at a point on the surface

Q8. Which of the following is the slope if the equation of a line is given as 𝑦=−2/3𝑦+5y?

1. -5
2. 5
3. 2/3
4. -2/3

Correct answer: -2/3