a and b are vectors such that |a| = √3, |b| = 1, and the angle between them is 5π/6. Using scalar product, find the exact value of |2a + b|.

Answers

Answer 1
Answer:

Answer:

|2a + b| = 2√(3) + 1

Step-by-step explanation:

|a| = √(3)

|b| = 1

θ = 5π/6

For scalar vectors, A.B = |a|.|b|.cosθ

a

|2a| = 2*√(3) = 2√(3)

|2a + b| = 2√(3) + 1

Since we don't have to find the scalar or dot product, there's no need to use the formula requiring the angle between them

|2a + b| = 2√(3) + 1


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Write an equivalent expression for n * a using only addition.

Answers

There are two of them:

1).  (n * a) means  n + n + n + n + n + n + n + . . .      'a' times.

2).  (n * a) also means  a + a + a + a + a + a + a + a + . . .     'n' times.

the lenghty of a rectangal is 8 feet more than its width. the pirimete of the rectangle is 72 feet. Find the width

Answers

Width of the rectangle is 14 ft

Step-by-step explanation:

  • Step 1: Let the width of the rectangle be x. Then length = 8 + x. Perimeter = 72 ft.

Perimeter = 2(length + width)

72 = 2 (8 + x + x)

72 = 16 + 4x

4x = 56

x = 56/4 = 14

∴ Width of the rectangle is 14 ft

What is 1+4=5/2+5=12/3+6=21/8+11=

Answers

Well the pattern is the number before the slash plus the next number plus the next number give you your answer,if that makes sense so 21+8=29+11=40

Triangles PQR and STU are similar.What's the length of ST

A.
24 m

B.
20 m

C.
14 m

D.
12 m

Answers

C.
14 m it is reasonable and you gave work that explained the quotient

Jesse walked 3/4 of a mile last weekend. This weekend he walked 1/2 as far. How far did Jesse walk this weekend?

Answers

Answer= 3/8 of a mile

3/4*1/2=3/8

Jesse walked 3/8 a mile this weekend

On Sunday 77,098 fans attended a New York Jets game. The same day, 3,397 more fans attended a New York Giants game than attended the game altogether,how many fans attended the games?

Answers

Total 80495 fans attended.

what is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

On Sunday = 77098 fans attended

Additional people attended= 3397

So, total fans attended the games are

= 77098 + 3397

=80495

Hence, 80495 fans attended games.

Learn more about unitary method here:

brainly.com/question/22056199

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To get the total amount of fans that attended the game, add 77,098 and 3,397 together.
         
 1   1 1
 77,098
+ 3,397
______
 80,495

80,494 total fans attended the game altogether.