Ask question

Ask question

All categories

3 years ago

6

If a=i+3j+k and b=i+12j+k, find a unit vector with positive first coordinate orthogonal to both a and

1 answer:

vodka [1.7K]3 years ago

5 0

The cross product of the vectors will be orthogonal to both:
axb
[tex]=<1,3,1>x<1,12,1>
=
i j k
1 3 1
1 12 1
=<3-12, -1+1, 12-3>
=<-9,0,9>
Since it is required to have positive first coordinate, we reverse the sign of the components, namely reverse the direction of the vector, which is still orthogonal to both a and b:
Required vector is <9,0,-9> which is orthogonal to both a and b.

You might be interested in

Employee has available sick time 4.21 but she used 3.30 so what the the balance left?

lesya [120]

Answer:

0.91 Hours left

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

What type of conic is given by the equation 4x^2+9y^2=36

zvonat [6]

Answer:

This is equation of ellipse

Step-by-step explanation:

we are given

$4x^2+9y^2=36$

We can see that right side is 36

so, we can make right side as 1 by dividing both sides by 36

$\frac{4x^2+9y^2}{36} =\frac{36}{36}$

$\frac{4x^2+9y^2}{36} =1$

$\frac{4x^2}{36}+\frac{9y^2}{36} =1$

we can simplify it

$\frac{x^2}{9}+\frac{y^2}{4} =1$

we can rewrite it as

$\frac{x^2}{3^2}+\frac{y^2}{2^2} =1$

now, we can compare it with standard equation of ellipse

$\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2} =1$

we can see that both equations are similar

so, this is equation of ellipse

8 0

2 years ago

(find unit rate) Julio runs 18.6 miles in 3 hours

Romashka-Z-Leto [24]

You do 18.6 ÷ 3 and that equals 6.2

6 0

2 years ago

What is the range of the function on the graph?all real numbersO all real numbers less than or equal to -1all real numbers less

Yuki888 [10]

The range of the function f(x) is the set of all values that function f takes.

The domain of the function f(x) is the set of all possible values for x.

From the given graph you can see that the domain is all real numbers, $x\in (-\infty,\infty).$

The maximal y-value that f takes is 3 at x=-1. For all another x from the domain, y is less than 3.

Thus, the range of the given function is $y\in (-\infty,3].$

Answer: $y\in (-\infty,3].$

8 0

2 years ago

Read 2 more answers

Which ordered pair is a solution of the equation y = 4x - 3?

Greeley [361]

Answer:

(0,-3)

(1,1)

(2,5)

Step-by-step explanation:

They're all correct. it doesn't matter which one you choose.

3 0

3 years ago