1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ksju [112]
3 years ago
8

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 =

i +59 +3k. How much of vector B is along vector A?
Mathematics
1 answer:
Gwar [14]3 years ago
7 0

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

You might be interested in
Misty purchased a pair of jeans that were originally $24, but were on sale for 1/3 off the total price. How much did she save?
Alla [95]
1/3 of $24 = 8
she saved $8
5 0
3 years ago
Read 2 more answers
What is the slope of a line that is perpendicular to a line whose equation is −2y = 3x + 7 ? Enter your answer in the box.
drek231 [11]
I was just on this .
8 0
3 years ago
Read 2 more answers
I really need help with #15
Amiraneli [1.4K]
It is a 25% increase.
3 0
3 years ago
Read 2 more answers
If two triangles are congruent, which of the following statements must be true?
PSYCHO15rus [73]

Answer:

The correct options are A, B, C and D.

Step-by-step explanation:

A figure said to be congruent if:

Two figures are said to be congruent if they have same size and same shape.

If two figure are congruent that means the corresponding sides will also be congruent.

If two figure are congruent that means the the corresponding angles will also be congruent.

Now consider the provided option.

By the above definition it is clear that all the options are correct.

Hence, the correct options are A, B, C and D.

7 0
3 years ago
Read 2 more answers
Mr. Weaver has 36 history students. The ratio of girls to boys is 2:1. How many girls does he have in his class?​
mina [271]

Answer:

24 girls

Step-by-step explanation:

24:12

2:1

5 0
3 years ago
Other questions:
  • Find the Difference 9,052-7,391
    14·2 answers
  • Find the first, fourth, and eighth terms of the sequence. a(n)=-2 x 2^n-1
    8·1 answer
  • What is 48% of 72 time 3 divided by 9
    8·2 answers
  • Help with 10-13 ASAP. Explain your answer
    13·1 answer
  • PLSSS HELP!!!
    5·1 answer
  • I need help with this question. The directions say to evaluate and express the answer in the simplest form.
    10·1 answer
  • A line that includes the point (10,–5) has a slope of 7. What is its equation in point-slope form?
    10·1 answer
  • A frog leaps 2 feet. The highest point in the jump is 6 inches. Assume the frog starts at (0, 0). Write a quadratic function in
    10·1 answer
  • Renee is creating a diagram to prove that a certain triangle is a right triangle. In her diagram, she uses three white quadrilat
    9·1 answer
  • What Statistic information we can get from a histogram?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!