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never [62]
3 years ago
11

Simplify. 1+32⋅2−5 A −48 B14 C15 D27

Mathematics
1 answer:
saul85 [17]3 years ago
8 0

Answer:

14

Step-by-step explanation:

im different

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(1 point) Find two unit vectors orthogonal to a=⟨4,5,0⟩a=⟨4,5,0⟩ and b=⟨0,1,−3⟩b=⟨0,1,−3⟩ Enter your answer so that the first no
Anni [7]

Answer:

 First vector

V=+ \dfrac{-15i+12j+4k}{\sqrt{385}}

Second vector

V=- \dfrac{-15i+12j+4k}{\sqrt{385}}

Step-by-step explanation:

Given that

Vector a ,  a= 4 i + 5 j + 0 k

Vector b , b= 0 i + 1 j  - 3 k

The orthogonal vector V is given as

V = a x b

V is the cross product of the above two vector which is orthogonal to the vectors a and b.

V=\begin{vmatrix}i & j & k\\ 4 & 5 & 0\\  0& 1 &-3 \end{vmatrix}\\V=i(-15-0)-j(-12-0)+k(4-0)\\V=-15i+12j+4k

The unit vectors

V=\pm \dfrac{-15i+12j+4k}{\sqrt{15^2+12^2+4^2}}\\\\V=+\dfrac{-15i+12j+4k}{\sqrt{385}}\\V=-\dfrac{-15i+12j+4k}{\sqrt{385}}

First vector

V=+ \dfrac{-15i+12j+4k}{\sqrt{385}}

Second vector

V=- \dfrac{-15i+12j+4k}{\sqrt{385}}

5 0
3 years ago
Aaron is 1 year younger then Laura. The sum of their ages is 23 years. How old is each of them
MaRussiya [10]
Aaron is 11 and Laura is 12. Hope this helped.
3 0
3 years ago
Find the value of t in the equation t + 5 + 3t = 1. <br><br> A. –1 <br> B. 1.5 <br> C. 3 <br> D. 6
Vedmedyk [2.9K]
The best method here is to plug in so plug in -1 (-1)+5+3(-1)=1 so the answer is A
3 0
3 years ago
In the triangle below,∠1= 35° and ∠6 = 70°. WHat is the measurement of ∠4?<br><br><br><br> ∠4= ?°
julia-pushkina [17]

Answer:

145°

Step-by-step explanation:

< 6 + <2 = 180° {being linear pair }

70° + < 2 = 180°

< 2 = 180° - 70°

< 2 = 110°

Now

< 4 = < 1 + < 2 (exterior angle of a triangle is equal to the sum of two opposite interior angles)

<4 = 35° + 110°

= 145°

Hope it will help :)

8 0
3 years ago
A Square has a perimeter of 28 feet. What is it's area?
rusak2 [61]

Answer:

784

Step-by-step explanation:

Use long multiplication to evaluate.

8 0
3 years ago
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