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
Ksenya-84 [330]
2 years ago
14

Determine the cross product b*a a=2i+2j-5k b=6i-j+2k

Mathematics
1 answer:
Misha Larkins [42]2 years ago
5 0

Recall the definition of the cross product:

i x i = j x j = k x k = 0

i x j = k

j x k = i

k x i = j

The cross product is antisymmetric, or anticommutative, meaning that for any  vectors u and v, we have u x v = - (v x u).

It's also distributive, so for any vectors u, v, and w, we have (u + v) x w = (u x w) + (v x w).

Taking all of these properties together, we get

b x a = (6i - j + 2k) x (2i + 2j - 5k)

b x a = 12 (i x i) - 2 (j x i) + 4 (k x i)

............. + 12 (i x j) - 2 (j x j) + 4 (k x j)

............. - 30 (i x k) + 5 (j x k) - 10 (k x k)

b x a = 1 (j x k) + 34 (k x i) + 14 (i x j)

b x a = i + 34j + 14k

You might be interested in
Inequality<br> 5+m&gt;4 or 7m&lt;-35
Anastasy [175]
5+m > 4\ or\ 7m < -35\\\\\#1\\5+m > 4\ \ \ \ |subtract\ 5\ from\ both\ sides\\\\m > -1\\\\\#2\\7m < -35\ \ \ \ \ |divide\ both\ sides\ by\ 7\\\\m < -5\\\\Answer:m\in(-\infty;-5)\ \cup\ (-1;\ \infty)
8 0
3 years ago
John can wash a car in 10 minutes. Brad can wash the same car in 8 minutes. How long will it take them if they work together to
Ann [662]

Answer:

9 min

Step-by-step explanation.

half of ten is 5 and half of 8 is 4 and 4 + 5 = 9

8 0
3 years ago
Read 2 more answers
The Palace of Peace and Accord in Astana, Kazakhstan, was built in 200620062006. The building has a square right pyramid structu
Anastaziya [24]

Answer: h= 69.3m

Step-by-step explanation:

The correct values in the question are:

year : 2006, length 62, vertical height 62.

So, the measure asked is called slant height . we have to apply the formula:

sh = √(vh^2 + [L/2]^2)

Where:  

vh= vertical height

L= length of a side of the square base

Replacing with the values given:

sh= √(62^2 + [62/2]^2)

sh = √(3,844 + 31^2)

sh= √(3,844 + 961)

sh = √4,805

hs= 69.31 =69.3 m (nearest tenth)

Since in the question that height is called h, h= 69.3

3 0
3 years ago
Suppose a straight line is fit to data having response variable y and explanatory variable x. Predicting values of y for values
kykrilka [37]

Answer:

Extrapolation

Step-by-step explanation:

Given

x \to Explanatory variable

y \to Response variable

Required

Predicting y outside range of x is called

This is referred to as extrapolation.

Take for instance, the range of x is: 1 - 9

You have extrapolated when, 10 is assumed to be the value of x and this value is entered in an equation to predict y.

8 0
2 years ago
I’m having trouble. Help me please!!!
Lady_Fox [76]
Hopes this helps:

Answer: No Solution
8 0
3 years ago
Other questions:
  • Simplidy y square root 6 over 6 square root y​
    9·1 answer
  • HELP PLEASE THANK u
    12·1 answer
  • 30 is 12.5% of what number?
    7·2 answers
  • Mention 15 examples of vegetables​
    7·1 answer
  • Can someone help with 11-15
    5·2 answers
  • A region is bounded by y=e−3x, the x-axis, the y-axis and the line x = 3. If the region is the base of a solid such that each cr
    7·1 answer
  • O PERCENTS
    9·1 answer
  • Help on this I don’t really understand it
    9·1 answer
  • Write two division equations for each multiplication equation. 15⋅25=6 15 ⋅ 2 5 = 6 6⋅43=8 6 ⋅ 4 3 = 8 16⋅78=14
    10·1 answer
  • Alex is 16 years old and his brother is 5 years old. In many years will Alex be twice the age of his brother?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!