Vector Basics and Operations

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Quiz on scalars, vectors, and products.

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Abeer Zehra Shabbir

Pakistán

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Vector Basics and Operations


Vector Basics and OperationsVersión en línea Quiz on scalars, vectors, and products. por Abeer Zehra Shabbir 1 What distinguishes a scalar from a vector quantity? a Vector has magnitude only; scalar has direction b Scalar has direction only; vector has magnitude c Both have magnitude and direction d Scalar has magnitude only; vector has magnitude and direction 2 How do you decompose a vector into rectangular components? a Add all angles of the vector b Average the coordinates c Multiply by the magnitude d Project it onto the x and y axes 3 What does the rectangular component method yield for two vectors? a The resultant equals the product of magnitudes b The resultant equals the sum of its rectangular components c The resultant uses only one component d The resultant is always zero 4 How do you compute the resultant of two vectors using components? a Multiply all components together b Subtract y from x components c Use only the larger vector d Add x-components and add y-components separately 5 Define the scalar (dot) product of two vectors. a Cross product of vectors b Sum of magnitudes c Product of magnitudes times sin(theta) d Product of magnitudes times cos(theta) 6 How is the scalar product expressed in terms of angle? a A · B = \|A\|\|B\|cos(theta) b A · B = \|A\|\|B\|sin(theta) c A · B = \|A\|^2 + \|B\|^2 d A · B = \|A\| + \|B\| 7 What is a key property of the scalar product? a Dependent only on direction b Always equality to zero c Commutative and distributive; zero if perpendicular d Non-commutative and non-distributive 8 Define the vector (cross) product of two vectors. a A vector perpendicular to both with magnitude \|A\|\|B\|sin(theta) b A vector parallel to both with magnitude sum c A scalar equal to \|A\|\|B\|cos(theta) d A vector equal to the product of angles 9 How is the vector product related to angle between vectors? a Always zero for non-parallel vectors b Magnitude = \|A\|\|B\|sin(theta); direction by right-hand rule c Magnitude = \|A\|\|B\|cos(theta) d Direction is arbitrary 10 What are key properties of the vector product? a Always zero b Commutative; not distributive c Independent of angle d Anticommutative; distributive; zero if vectors are parallel

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Vector Basics and Operations

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Vector Basics and OperationsVersión en línea

por Abeer Zehra Shabbir

What distinguishes a scalar from a vector quantity?

How do you decompose a vector into rectangular components?

What does the rectangular component method yield for two vectors?

How do you compute the resultant of two vectors using components?

Define the scalar (dot) product of two vectors.

How is the scalar product expressed in terms of angle?

What is a key property of the scalar product?

Define the vector (cross) product of two vectors.

How is the vector product related to angle between vectors?

What are key properties of the vector product?