Gradient Vectors Quizzes, Questions & Answers

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Top Trending Gradient Vectors Quizzes

Let us find out how much you know or understand through these vector quiz questions and answers. Vector is an element of vector space in math and physics. There are many other names that vector has been given. In this quiz, we...

Questions: 10 | Attempts: 11909 | Last updated: Mar 22, 2025

Sample Question
Which of these expresses a vector quantity?

10kg

10kg to the north

10 m/s

10 m/s to the east

Persamaan Garis Lurus 2

This quiz titled 'persamaan garis lurus 2' focuses on the calculation of gradients and coordinates in linear equations, testing understanding through various problem-solving questions.

Questions: 10 | Attempts: 2236 | Last updated: Mar 22, 2025

Sample Question
gradien garis yang memiliki persamaan y = 6 - 2x adalah ....

6

- 6

2

- 2

4

X IPA Matematika Minat

This advanced mathematics quiz focuses on vector calculus, exploring concepts like orthogonal projections, vector operations, and angle measurements between vectors.

Questions: 20 | Attempts: 558 | Last updated: Mar 22, 2025

Sample Question
Diketahui vektor a = pi + 2j – k, b = 4i – 3j + 6k, dan c = 2i – j + 3k. Jika a tegak lurus b, maka hasil dari (a – 2b) . (3c) adalah….

171

63

-63

-111

-171

Gradient Vectors: Basics & Computation

Gradients and directional derivatives play a central role in multivariable calculus, revealing how functions change in different directions across the plane or in space. This quiz guides you through computing gradients,...

Questions: 15 | Attempts: 11 | Last updated: Dec 15, 2025

Sample Question
For the function f(x, y) = 3x² + 2y³, what is the gradient ∇f?

(6x, 6y²)

(3x, 2y²)

(6x, 2y²)

(3x², 2y³)

Tangent Lines, Tangent Planes & Normal Vectors

This quiz focuses on the core tools of multivariable calculus: gradients, directional derivatives, tangent planes, and level curves. You’ll apply computational skills to find gradients for functions of one, two, and three...

Questions: 15 | Attempts: 11 | Last updated: Dec 15, 2025

Sample Question
Given f(x,y) = x² + 2xy - 3y², what is the gradient vector ∇f at the point (1,2)?

⟨2x + 2y, 2x - 6y⟩

⟨6, -10⟩

⟨2, -6⟩

⟨4, -10⟩

Recent Gradient Vectors Quizzes

Gradient Applications: Chain Rule, Geometry & Physical Interpretation

This quiz explores advanced concepts in multivariable calculus, focusing on how functions of several variables behave through their gradients, level curves, and tangent planes. You will analyze how gradients determine directions...

Questions: 15 | Attempts: 10 | Last updated: Dec 15, 2025

Sample Question
For the function f(x,y) = e^(xy) + sin(x), what is the equation of the level curve that passes through the point (0,0)?

E^(xy) + sin(x) = 0

E^(xy) + sin(x) = 1

E^(xy) + sin(x) = 2

E^(xy) + sin(x) = 0.5

Gradients, Level Curves & Level Surfaces

This quiz explores essential concepts in multivariable calculus, focusing on gradients, level curves, and directional derivatives. You’ll practice computing gradients for a variety of functions, evaluating them at specific...

Questions: 15 | Attempts: 10 | Last updated: Dec 15, 2025

Sample Question
What is the gradient ∇f(x,y) for f(x,y) = x²y + 4y³ - 3x?

(2x - y, x² + 12y²)

(2x + y, x² + 12y²)

(2xy - 3, x² + 12y²)

(y - 3, 2xy + 12y²)

Directional Derivatives & Steepest Ascent

Understanding gradients and directional derivatives is essential for analyzing how multivariable functions change across the plane or in three-dimensional space. In this quiz, you'll compute gradients, evaluate them at...

Questions: 15 | Attempts: 10 | Last updated: Dec 15, 2025

Sample Question
For the function f(x, y) = x sin(y), what is the gradient ∇f?

(sin(y), x cos(y))

(cos(y), x sin(y))

(sin(y), -x cos(y))

(x cos(y), sin(y))