Lesson 8.04a
8.04a Vector product Quiz: OCR Further Maths, Unit 5
20 questions
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Lesson 8.04a, Vector product: 20 multiple choice questions for the OCR Further Maths (H245), Unit 5: Additional Pure Mathematics (Y545), written with Revision Ninja.
Host it live on the board and students join with a game code on their own devices, or revise alone with Free Play. The answers are revealed in the game.
The 20 questions
-
What property states that a x b is equal to -(b x a)?
- Anti-commutativity
- Distributivity
- Associativity
- Commutativity
-
What is the magnitude of the vector product a x b equal to?
- |a||b| tan theta
- |a||b| cos theta
- |a|.|b|
- |a||b| sin theta
-
What geometric shape's area is given by the magnitude of 0.5(a x b)?
- Triangle
- Parallelogram
- Tetrahedron
- Parallelepiped
-
What geometric shape's area is given directly by the magnitude |a x b|?
- Trapezium
- Rectangle
- Triangle
- Parallelogram
-
If two non-zero vectors a and b satisfy a cross b equals zero, what are they?
- Skew
- Parallel
- Orthogonal
- Perpendicular
-
What is the scalar triple product of three coplanar vectors?
- Vector
- One
- Infinity
- Zero
-
What does the absolute value of the scalar triple product a . (b x c) represent?
- Volume of parallelepiped
- Area of triangle
- Area of parallelogram
- Volume of tetrahedron
-
How is the volume of a tetrahedron with edges a, b, c related to a . (b x c)?
- One third
- One sixth
- One quarter
- One half
-
What is the value of i x j in standard unit vector notation?
- i
- k
- -k
- 0
-
What is the value of j x i in standard unit vector notation?
- 0
- -k
- k
- j
-
What is the result of the vector product of any vector with itself?
- Zero vector
- Scalar zero
- Vector square
- Unit vector
-
Which vector operation is represented by the formula a . (b x c)?
- Cross product
- Scalar triple product
- Scalar product
- Vector triple product
-
What does the equation (r - a) x d = 0 represent in 3D geometry?
- A straight line
- A point
- A sphere
- A plane
-
If vector a is perpendicular to vector b, what is |a x b| equal to?
- 1
- Zero
- 0.5|a||b|
- |a||b|
-
What is the vector product of 2i and 3j?
- 6j生命
- -6k
- 6i
- 6k
-
Which law states that a x (b + c) = (a x b) + (a x c)?
- Distributive law
- Identity law
- Commutative law
- Associative law
-
What direction does the vector product a x b point relative to vectors a and b?
- Perpendicular to both
- In their plane
- Parallel to a
- Parallel to b
-
What is the result of the scalar triple product i . (j x k)?
- 1
- 0生命
- -1
- k
-
What is the value of the vector product i x i?
- 1
- Zero vector
- i
- k
-
If a = i and b = k, what is the vector product a x b?
- 0
- -j
- j
- i
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