All categories

4 years ago

What vector points from the origin to the point (3, -2, 3)? PLEASE PLEASE HELP

Mathematics

1 answer:

LekaFEV [45]4 years ago

8 0

Answer:

The vector $\vec v = (3,-2,3)$ points from the origin to the point (3,-2,-3).

Step-by-step explanation:

Geometrically speaking, a vector is the change between a final point and a initial point. Since vector are located in space, the origin is represented by point (0, 0, 0) That is:

$\vec v = (3,-2,3)-(0,0,0)$

$\vec v = (3-0,-2-0,3-0)$

$\vec v = (3,-2,3)$

The vector $\vec v = (3,-2,3)$ points from the origin to the point (3,-2,-3).

You might be interested in

Find the sum of the first 12 terms of the sequence. Show all work for full credit. 1, -4, -9, -14, . . . (2 points)

My name is Ann [436]

Answer:

$S_n=$ -348

Step-by-step explanation:

We are given the following arithmetic sequence and we are to find the sum of its first 12 terms:

1, -4, -9, -14, . . .

For that, we will use the formula for the sum of the arithmetic mean:

$S_n=\frac{n}{2} (a_1+a_n)$

We know the value of the first term ( $a_n$ ) but we need to find the value of $a_{12}$ . So we will use the following formula:

$a_{12}=a_1+(n-1)d$

$a_{12}=(-4)+(12-1)(5)$

$a_{12}=-59$

Substituting these values in the sum formula to get:

$S_n=\frac{12}{2} (1+(-59))$

$S_n=$ -348

4 0

4 years ago

Read 2 more answers

12, 15, 10, 15, 11, 12, 15.

malfutka [58]

Answer:

1. ≈ 12.85

2. 15

3. -38

4. 41 miles

5. 88

Step-by-step explanation:

3 0

3 years ago

Factor the trinomial: 2x^2+13x+21

tankabanditka [31]

Answer:

$(2x + 7) \times (x + 3)$

Step-by-step explanation:

${2x}^{2} + 13x + 21$

${2x}^{2} + 7x + 6x + 21$

$x \times (2x + 7) + 3(2x + 7)$

$= (2x + 7) \times (x + 3)$

6 0

3 years ago

A worker produced a total of 198 mousetraps during a 6 hour run with no rejects and no downtime. A report states that this worke

jeka94

1 hr = 60 minutes....so 6 hrs = (6 * 60) = 360 minutes

198 / 360 = 0.55 mousetraps per minute

no, 2 mousetraps per minute is not accurate

4 0

3 years ago

Find the angle marked with the ? mark

Yuri [45]

Answer:

53 degrees

Step-by-step explanation:

Angle N = angle E

because angle made by joining end points of same chord on circumference are always equal.

so angle E = 37

Angle D = 90 ( because angle made by diameter on circumference is 90 degrees)

Now in Triangle DEC. Sum if all the angles of triangle us 180

Angle D + angle E + ? = 180

37 + 90 + ? = 180

127 + ? = 180

? = 180 - 127

? = 53 degrees

4 0

3 years ago