Practice Cross Product (Vector Product) - 5.5.5 | 5. Vectors | ICSE 12 Mathematics
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Cross Product (Vector Product)

5.5.5 - Cross Product (Vector Product)

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the definition of the cross product?

💡 Hint: Think about the geometric representation.

Question 2 Easy

What does the right-hand rule help determine?

💡 Hint: Recall how you would physically apply your hand.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What describes the resultant vector from a cross product?

Collinear to the original vectors
Perpendicular to both original vectors
Parallel to the original vectors

💡 Hint: Think about the geometric interpretation.

Question 2

True or False: The cross product's magnitude is highest when the vectors are perpendicular.

True
False

💡 Hint: Consider the sine function values.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given three vectors A = (2, -1, 4), B = (3, 3, 1), and C = (1, 0, 2), find A × (B × C).

💡 Hint: Remember vector identities and use distributive properties.

Challenge 2 Hard

In a physics experiment, a force vector F = (5, 0, 0) is applied at a point on a lever arm R = (0, 3, 4). Calculate the torque produced by this force around the pivot point.

💡 Hint: Use the cross product to find torque, ensuring vector order matters!

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