Understanding Vectors (Grades 11-12)
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Understanding Vectors
1.
Another name for the initial point of a vector is called the .
- tail
- tip
- direction
- all of the above
2.
The vectors [math]4vec(n)[/math] and [math]6vec(n)[/math]
- have nothing in common.
- have the same direction.
- have the same start point.
- have the same magnitude.
3.
The vectors [math]4vec(n)[/math] and [math]-4vec(n)[/math]
- have nothing in common.
- have the opposite direction.
- have the same direction.
- have the opposite magnitude.
4.
Two vectors with the same direction are equal.
- They are always equal.
- They are never equal.
- It depends on their magnitude.
- It depends on their end point.
5.
Two vectors with the same magnitude are equal.
- They are always equal.
- They are never equal.
- It depends on their direction.
- It depends on their initial point.
6.
What is the component form of the vector [math]vec(JK) ?[/math]

- [math]<<-4,4>>[/math]
- [math][[-4],[4]][/math]
- [math]4hat(i) - 4hat(j)[/math]
- [math]<<4,-4>>[/math]
7.
These two vectors are parallel.
[math]<<1/2, 4>>, [/math] [math]<<2, 8>>[/math]
[math]<<1/2, 4>>, [/math] [math]<<2, 8>>[/math]
- True
- False
8.
What is the magnitude of a vector with points [math](-2,5)[/math] and [math](4,13) ?[/math]
- [math]10[/math]
- [math]5[/math]
- [math]sqrt(7)[/math]
- [math]sqrt(14)[/math]
9.
Let [math] vec(n) = <<-6,-1>>, vec(m) = <<10,-10>>.[/math] Find [math] 2vec(m) - 5vec(n)[/math].
- [math]<<10, 25>>[/math]
- [math]<<-10, -25>>[/math]
- [math]<<50, -15>>[/math]
- [math]<<16, 9>>[/math]
10.
Let [math]vec(a) = 3hat(i) - 6hat(j), vec(b) = -hat(i) + 3hat(j).[/math] Find [math]3vec(a) + 2vec(b).[/math]
- [math]7hat(i) - 3hat(j)[/math]
- [math]2hat(i) - 3hat(j)[/math]
- [math]11hat(i) + 24hat(j)[/math]
- [math]7hat(i) - 12hat(j)[/math]
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