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4 years ago

Unit 2: Logic and proofs Homework 8: Angle Proofs

Mathematics

1 answer:

Anettt [7]4 years ago

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Find the projection of the vector A = î - 2ġ + k on the vector B = 4 i - 4ſ + 7k. 15. Given the vectors A = 2 i +3 ſ +6k and B =

Gwar [14]

Answer:

Part 1)

Projection of vector A on vector B equals 19 units

Part 2)

Projection of vector B' on vector A' equals 35 units

Step-by-step explanation:

For 2 vectors A and B the projection of A on B is given by the vector dot product of vector A and B

Given

$\overrightarrow{v_{a}}=\widehat{i}-2\widehat{j}+\widehat{k}$

Similarly vector B is written as

$\overrightarrow{v_{b}}=4\widehat{i}-4\widehat{j}+7\widehat{k}$

Thus the vector dot product of the 2 vectors is obtained as

$\overrightarrow{v_{a}}\cdot \overrightarrow{v_{b}}=(\widehat{i}-2\widehat{j}+\widehat{k})\cdot (4\widehat{i}-4\widehat{j}+7\widehat{k})\\\\\overrightarrow{v_{a}}\cdot \overrightarrow{v_{b}}=1\cdot 4+2\cdot 4+1\cdot 7=19$

Part 2)

Given vector A' as

$\overrightarrow{v_{a'}}=2\widehat{i}+3\widehat{j}+6\widehat{k}$

Similarly vector B' is written as

$\overrightarrow{v_{b'}}=\widehat{i}+5\widehat{j}+3\widehat{k}$

Thus the vector dot product of the 2 vectors is obtained as

$\overrightarrow{v_{b'}}\cdot \overrightarrow{v_{a'}}=(\widehat{i}+5\widehat{j}+3\widehat{k})\cdot (2\widehat{i}+3\widehat{j}+6\widehat{k})\\\\\overrightarrow{v_{a'}}\cdot \overrightarrow{v_{b'}}=1\cdot 2+5\cdot 3+3\cdot 6=35$

7 0

3 years ago

A scuba diver is 12 meters below sea level. If the diver descends 39 meters further, what integer represents the scuba diver’s n

marusya05 [52]

I think the answer is -51

7 0

3 years ago

H.<br> R(x) = kx – 2x^2 ; R(1/4)<br> R(-1/4)<br> find k.

True [87]

Answer:

k=0

Step-by-step explanation:

R(x)=kx-2x²

R(1/4)=k(1/4)-2(1/4)²=k/4-1/8

R(-1/4)=k(-1/4)-2(-1/4)²=-k/4-1/8

R(1/4)=R(-1/4)

k/4-1/8=-k/4-1/8

k/4+k/4=1/8-1/8

2k/4=0

2k=0

k=0

6 0

3 years ago

Which function is best represented by this graph?

zalisa [80]

Answer:

B- y= $\frac{1}{4}$ x-2

Step-by-step explanation:

To look at the slope you can count over four and then up one and its at the next point.

Also, the place on the y-axis is at -2

So, b makes the most since :)

Hope this helps :) (if it does, brainliest??)

7 0

3 years ago

Can u please help me with this

Art [367]

Answer:

Acute angle, 85 degrees. That's my guess I hope it helps.

7 0

3 years ago