Physics Quiz

What is the definition of a unit vector?

• A vector with magnitude of one

• A vector with magnitude of zero

• A vector with magnitude of three

• A vector with magnitude of two

Which unit vector points in the +x direction in a two-dimensional x-y coordinate system?

• î

• ĵ

• k

• r

How can any vector be expressed in terms of unit vectors?

• Axî + Ay + A₂k

• Ax + Ay + A₂

• Ax + Ayĵ + A₂k

• Axî + Ayĵ + A₂k

What is the result of vector addition in unit vector notation?

• (Ax + Bx)i + (Ay + By) + (A₂ + B₂)

• (Ax + Bx)i + (Ay + By) + (A₂ + B₂)k

• (Ax + Bx) + (Ay + By) + (A₂ + B₂)

• (Ax + Bx)i + (Ay + By)ĵ + (A₂ + B₂)k

How can the unit vector in the same direction as a vector be found?

• r / |r|

• r * |r|

• r - |r|

• r + |r|

What is the magnitude of the original vector r = xî + yĵ + zk?

• x * y * z

• √(x² + y² + z²)

• x² + y² + z²

• x + y + z

What is the sum of the x components in vector addition?

• Ax * Bx

• Ax + Bx

• Ax - Bx

• Ax / Bx

Which unit vector points in the +z direction in a three-dimensional x-, y- and z-coordinate system?

• &

• ĵ

• î

• k

What is the y-component of vector A?

• Axî + Ayĵ + A₂k

• A₂k

• Axî

• Ayĵ

How are individual unit vectors factored out in vector addition?

• By multiplying with other vectors

• By not appearing in each of two or more terms

• By appearing in each of two or more terms

• By dividing with other vectors