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Questions 13, 14 and 15 refer to the following situation. In the diagram given below ABCD is a parallelogram and F and G are points on the sides of the parallelogram such that \overrightarrow{BF} is perpendicular to \overrightarrow{AD} and \overrightarrow{BG} is perpendicular to \overrightarrow{CD}. B F G D C If the arrow \overrightarrow{AD} represents the vector \overrightarrow{g} = (7, 1, 0) and the arrow \overrightarrow{AB} represents the vector \overrightarrow{b} = (3, 6, 0) then calculate each of the following. 13. $|\overrightarrow{BF}|$ (rounded to two decimal places) is equal to (a) 6.36 (b) 5.20 (c) 5.52 (d) 5.38 (e) 6.16 14. $|\overrightarrow{BG}|$ (rounded to two decimal places) is equal to (a) 5.81 (b) 6.75 (c) 4.78 (d) 6.55 (e) 6.23 15. \overrightarrow{b} \times \overrightarrow{g} is equal to: (a) \left(\frac{|\overrightarrow{BF}|}{|\overrightarrow{BF}| + |\overrightarrow{BG}| }\right)(|\overrightarrow{b}| + |\overrightarrow{g}|) (b) \left(|\overrightarrow{BF}| + |\overrightarrow{BG}|\right)\left(\frac{|\overrightarrow{b}| + |\overrightarrow{g}|}{|\overrightarrow{b}| + |\overrightarrow{g}|}\right)

          Questions 13, 14 and 15 refer to the following situation.
In the diagram given below ABCD is a parallelogram and F and G are points
on the sides of the parallelogram such that \overrightarrow{BF} is perpendicular to \overrightarrow{AD} and
\overrightarrow{BG} is perpendicular to \overrightarrow{CD}.
B
F
G
D
C
If the arrow \overrightarrow{AD} represents the vector \overrightarrow{g} = (7, 1, 0) and the arrow \overrightarrow{AB} represents
the vector \overrightarrow{b} = (3, 6, 0) then calculate each of the following.
13. $|\overrightarrow{BF}|$ (rounded to two decimal places) is equal to
(a) 6.36	(b) 5.20	(c) 5.52	(d) 5.38	(e) 6.16
14. $|\overrightarrow{BG}|$ (rounded to two decimal places) is equal to
(a) 5.81	(b) 6.75	(c) 4.78	(d) 6.55	(e) 6.23
15. \overrightarrow{b} \times \overrightarrow{g} is equal to:
(a) \left(\frac{|\overrightarrow{BF}|}{|\overrightarrow{BF}| + |\overrightarrow{BG}| }\right)(|\overrightarrow{b}| + |\overrightarrow{g}|)
(b) \left(|\overrightarrow{BF}| + |\overrightarrow{BG}|\right)\left(\frac{|\overrightarrow{b}| + |\overrightarrow{g}|}{|\overrightarrow{b}| + |\overrightarrow{g}|}\right)

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Questions 13, 14 and 15 refer to the following situation.
In the diagram given below ABCD is a parallelogram and F and G are points
on the sides of the parallelogram such that BF is perpendicular to AD and
BG is perpendicular to CD.
B
F
G
D
C
If the arrow AD represents the vector g = (7, 1, 0) and the arrow AB represents
the vector b = (3, 6, 0) then calculate each of the following.
13. |BF| (rounded to two decimal places) is equal to
(a) 6.36 (b) 5.20 (c) 5.52 (d) 5.38 (e) 6.16
14. |BG| (rounded to two decimal places) is equal to
(a) 5.81 (b) 6.75 (c) 4.78 (d) 6.55 (e) 6.23
15. b ×g is equal to:
(a) ((|BF|)/(|BF| + |BG| ))(|b| + |g|)
(b) (|BF| + |BG|)((|b| + |g|)/(|b| + |g|))

Added by Vicente B.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Natalie Belcher

10/22/2022

Step 1

BG = G - B = (3, 6, 0) - (3, 6, 0) = (0, 0, 0) = 0 Show more…

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Questions 13, 14 and 15 refer to the following situation. In the dingram given belon ABCD is a parallelogram and F and G are points ce the sides of the parallelogram such that /bar (BF) is perpendicular to /bar (AD) and ECG is perpendicular to /bar (CD). If the arrow vec(AD) represents the vector a=(7,1,0) and the arrow vec(AB) represents the vector h=(3,6,0) then caleulate each of the following. (a) 6,36 (b) 5,27 (c) 5,52 (d) 5,38 (c) 6,16 14. (||)/(b)ar (BC)|| (rounded to two decinal pheces) is equal tox (a) 5.81 (b) 6,7 (c) 4,78 (d) 6.55 (c) 6,28 15. If imes bill is equal to: (b) Questions 13,14 and 15 refer to the following situation In the diagram given below ABCD is a parallelogram and F and G are points vector g (3, 6, 0) then caleulate each of the following. 1I 18F (a) 6,36 (b) 5,20 (e) 5, 52 (d) 5,38 (e) 6,16 BG (rounded to two decimal places) is equal to: a5,81 (b) 6, 75 (c)4,78 (d) 6,55 (e) 6,23 I g All is equal to BG lg+1bl +G bF+G l+e all16ll

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Transcript

00:01 Okay, so the ones in yellow are the ones they gave me, the 90 and the 22.

00:05 So i'm going to go through these.

00:07 So this is also 90 because they're vertical.

00:14 And then from there, okay, and so then i also know that this yellow angle is 40, and so vertical to that, and that's how that is 40.

00:29 I know that all three of these are a straight line, so they have to equal 180.

00:37 So that's how i'm coming up at the 50.

00:39 And then i know that that is also 50 because vertical angles.

00:44 And so then i'm going to jump over here.

00:47 These three have to equal 180 because they're a triangle.

00:51 And so i'm subtracting 22 and 50 from 180 to get the 108.

00:57 And then i know the other 108 because those are vertical angles.

01:02 I know that these two are a linear pair.

01:07 So that's how i know that that is 72.

01:11 And then i know that the other one vertical of it will be 72.

01:18 Okay, this triangle here equals 180.

01:21 So the 90 and the 72, subtracted from 180.

01:25 That's how i'm getting the 18 right there.

01:33 Because of the parallel lines, i know this 40 and this 40 that i have yellow are corresponding.

01:39 So they are the same.

01:46 All right, the next thing i can show is that this 50 here, that's green, is equal to this 50 because alternate interior angles.

01:59 And so now that i know that is 50, i can figure out this 22 because it's a triangle sum...

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