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Parallel and Perpendicular Vectors

Authored by Shazaib Nauman

Mathematics

9th - 12th Grade

Used 2+ times

Parallel and Perpendicular Vectors
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15 questions

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1.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Identify whether the following vectors are parallel: v = <3, 4>, u = <6, 8>

(2, 5)

No

(1, 2)

Yes

2.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Identify whether the following vectors are perpendicular: v = <2, -1>, u = <1, 2>

Maybe

(3, 4)

No

Yes

3.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Find the dot product of the vectors v = <3, 5> and u = <2, -4>

3*2 + 5*4 = 6 + 20 = 26

3*2 - 5*(-4) = 6 + 20 = 26

3*2 - 5*4 = 6 - 20 = -14

3*2 + 5*(-4) = 6 - 20 = -14

4.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Determine if two trains traveling at different speeds are parallel

No

Maybe

Not sure

Yes

5.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Determine if two roads, one going north and the other going east, are perpendicular

No

Maybe

Yes

6.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Solve the problem: Two forces are acting on an object, F1 = <2, 3> N and F2 = <4, 6> N. Determine if they are parallel or perpendicular.

The forces F1 and F2 are neither parallel nor perpendicular.

The forces F1 and F2 are anti-parallel.

The forces F1 and F2 are collinear but not parallel.

The forces F1 and F2 are parallel.

7.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Identify whether the vectors v = <1, 1> and u = <-1, 1> are parallel

The vectors v = (1, 1) and u = (-1, 1) are parallel because they have the same direction

The vectors v = (1, 1) and u = (-1, 1) are parallel because their dot product is zero

The vectors v = (1, 1) and u = (-1, 1) are not parallel because there is no scalar k such that v = ku.

The vectors v = (1, 1) and u = (-1, 1) are parallel because they have the same magnitude

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