The maximum and minimum of A → + B → .

Question

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Answer 1

Question

Chapter 1, Problem 74P

(a)

To determine

The maximum and minimum of A→+B→.

(a)

Expert Solution

Answer to Problem 74P

The maximum and minimum of A→+B→ are 29 m and 5 m respectively.

Explanation of Solution

When the two vectors are in the same direction, A→+B→ will be maximum. The maximum of A→+B→ is given by,

(A→+B→)max=|A→|+|B→|

When the two vectors are in the opposite direction, A→+B→ will be minimum. The minimum of A→+B→ is given by,

(A→+B→)min=|B→|−|A→|

Conclusion:

Substitute 12 m for |A→| and 17 m for |B→| to get (A→+B→)max.

(A→+B→)max=(12 m)+(17 m)=29 m

Substitute 12 m for |A→| and 17 m for |B→| to get (A→+B→)min.

(A→+B→)min=(17 m)−(12 m)=5 m

Therefore, the maximum and minimum of A→+B→ are 29 m and 5 m respectively.

(b)

To determine

The maximum and minimum of A→−B→.

(b)

Expert Solution

Answer to Problem 74P

The maximum and minimum of A→−B→ are 29 m and 5 m respectively.

Explanation of Solution

When the two vectors are in the opposite direction, A→−B→ will be maximum. The maximum of A→−B→ is given by,

(A→−B→)max=|A→|−(−|B→|)=|A→|+|B→|

When the two vectors are in the same direction, A→−B→ will be minimum. The minimum of A→−B→ is given by,

(A→−B→)min=|B→|−|A→|

Conclusion:

Substitute 12 m for |A→| and 17 m for |B→| to get (A→−B→)max.

(A→−B→)max=(12 m)−(−17 m)=29 m

Substitute 12 m for |A→| and 17 m for |B→| to get (A→−B→)min.

(A→−B→)min=(17 m)−(12 m)=5 m

Therefore, the maximum and minimum of A→−B→ are 29 m and 5 m respectively.

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Answer 2

Question

Chapter 1, Problem 74P

(a)

To determine

The maximum and minimum of A→+B→.

(a)

Expert Solution

Answer to Problem 74P

The maximum and minimum of A→+B→ are 29 m and 5 m respectively.

Explanation of Solution

When the two vectors are in the same direction, A→+B→ will be maximum. The maximum of A→+B→ is given by,

(A→+B→)max=|A→|+|B→|

When the two vectors are in the opposite direction, A→+B→ will be minimum. The minimum of A→+B→ is given by,

(A→+B→)min=|B→|−|A→|

Conclusion:

Substitute 12 m for |A→| and 17 m for |B→| to get (A→+B→)max.

(A→+B→)max=(12 m)+(17 m)=29 m

Substitute 12 m for |A→| and 17 m for |B→| to get (A→+B→)min.

(A→+B→)min=(17 m)−(12 m)=5 m

Therefore, the maximum and minimum of A→+B→ are 29 m and 5 m respectively.

(b)

To determine

The maximum and minimum of A→−B→.

(b)

Expert Solution

Answer to Problem 74P

The maximum and minimum of A→−B→ are 29 m and 5 m respectively.

Explanation of Solution

When the two vectors are in the opposite direction, A→−B→ will be maximum. The maximum of A→−B→ is given by,

(A→−B→)max=|A→|−(−|B→|)=|A→|+|B→|

When the two vectors are in the same direction, A→−B→ will be minimum. The minimum of A→−B→ is given by,

(A→−B→)min=|B→|−|A→|

Conclusion:

Substitute 12 m for |A→| and 17 m for |B→| to get (A→−B→)max.

(A→−B→)max=(12 m)−(−17 m)=29 m

Substitute 12 m for |A→| and 17 m for |B→| to get (A→−B→)min.

(A→−B→)min=(17 m)−(12 m)=5 m

Therefore, the maximum and minimum of A→−B→ are 29 m and 5 m respectively.

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Answer 3

Question

Chapter 1, Problem 74P

(a)

To determine

The maximum and minimum of A→+B→.

(a)

Expert Solution

Answer to Problem 74P

The maximum and minimum of A→+B→ are 29 m and 5 m respectively.

Explanation of Solution

When the two vectors are in the same direction, A→+B→ will be maximum. The maximum of A→+B→ is given by,

(A→+B→)max=|A→|+|B→|

When the two vectors are in the opposite direction, A→+B→ will be minimum. The minimum of A→+B→ is given by,

(A→+B→)min=|B→|−|A→|

Conclusion:

Substitute 12 m for |A→| and 17 m for |B→| to get (A→+B→)max.

(A→+B→)max=(12 m)+(17 m)=29 m

Substitute 12 m for |A→| and 17 m for |B→| to get (A→+B→)min.

(A→+B→)min=(17 m)−(12 m)=5 m

Therefore, the maximum and minimum of A→+B→ are 29 m and 5 m respectively.

(b)

To determine

The maximum and minimum of A→−B→.

(b)

Expert Solution

Answer to Problem 74P

The maximum and minimum of A→−B→ are 29 m and 5 m respectively.

Explanation of Solution

When the two vectors are in the opposite direction, A→−B→ will be maximum. The maximum of A→−B→ is given by,

(A→−B→)max=|A→|−(−|B→|)=|A→|+|B→|

When the two vectors are in the same direction, A→−B→ will be minimum. The minimum of A→−B→ is given by,

(A→−B→)min=|B→|−|A→|

Conclusion:

Substitute 12 m for |A→| and 17 m for |B→| to get (A→−B→)max.

(A→−B→)max=(12 m)−(−17 m)=29 m

Substitute 12 m for |A→| and 17 m for |B→| to get (A→−B→)min.

(A→−B→)min=(17 m)−(12 m)=5 m

Therefore, the maximum and minimum of A→−B→ are 29 m and 5 m respectively.

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Answer 4

Question

Chapter 1, Problem 74P

(a)

To determine

The maximum and minimum of A→+B→.

(a)

Expert Solution

Answer to Problem 74P

The maximum and minimum of A→+B→ are 29 m and 5 m respectively.

Explanation of Solution

When the two vectors are in the same direction, A→+B→ will be maximum. The maximum of A→+B→ is given by,

(A→+B→)max=|A→|+|B→|

When the two vectors are in the opposite direction, A→+B→ will be minimum. The minimum of A→+B→ is given by,

(A→+B→)min=|B→|−|A→|

Conclusion:

Substitute 12 m for |A→| and 17 m for |B→| to get (A→+B→)max.

(A→+B→)max=(12 m)+(17 m)=29 m

Substitute 12 m for |A→| and 17 m for |B→| to get (A→+B→)min.

(A→+B→)min=(17 m)−(12 m)=5 m

Therefore, the maximum and minimum of A→+B→ are 29 m and 5 m respectively.

(b)

To determine

The maximum and minimum of A→−B→.

(b)

Expert Solution

Answer to Problem 74P

The maximum and minimum of A→−B→ are 29 m and 5 m respectively.

Explanation of Solution

When the two vectors are in the opposite direction, A→−B→ will be maximum. The maximum of A→−B→ is given by,

(A→−B→)max=|A→|−(−|B→|)=|A→|+|B→|

When the two vectors are in the same direction, A→−B→ will be minimum. The minimum of A→−B→ is given by,

(A→−B→)min=|B→|−|A→|

Conclusion:

Substitute 12 m for |A→| and 17 m for |B→| to get (A→−B→)max.

(A→−B→)max=(12 m)−(−17 m)=29 m

Substitute 12 m for |A→| and 17 m for |B→| to get (A→−B→)min.

(A→−B→)min=(17 m)−(12 m)=5 m

Therefore, the maximum and minimum of A→−B→ are 29 m and 5 m respectively.

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Answer 5

Chapter 1, Problem 74P

(a)

To determine

The maximum and minimum of A→+B→.

(a)

Expert Solution

Answer to Problem 74P

The maximum and minimum of A→+B→ are 29 m and 5 m respectively.

Explanation of Solution

When the two vectors are in the same direction, A→+B→ will be maximum. The maximum of A→+B→ is given by,

(A→+B→)max=|A→|+|B→|

When the two vectors are in the opposite direction, A→+B→ will be minimum. The minimum of A→+B→ is given by,

(A→+B→)min=|B→|−|A→|

Conclusion:

Substitute 12 m for |A→| and 17 m for |B→| to get (A→+B→)max.

(A→+B→)max=(12 m)+(17 m)=29 m

Substitute 12 m for |A→| and 17 m for |B→| to get (A→+B→)min.

(A→+B→)min=(17 m)−(12 m)=5 m

Therefore, the maximum and minimum of A→+B→ are 29 m and 5 m respectively.

(b)

To determine

The maximum and minimum of A→−B→.

(b)

Expert Solution

Answer to Problem 74P

The maximum and minimum of A→−B→ are 29 m and 5 m respectively.

Explanation of Solution

When the two vectors are in the opposite direction, A→−B→ will be maximum. The maximum of A→−B→ is given by,

(A→−B→)max=|A→|−(−|B→|)=|A→|+|B→|

When the two vectors are in the same direction, A→−B→ will be minimum. The minimum of A→−B→ is given by,

(A→−B→)min=|B→|−|A→|

Conclusion:

Substitute 12 m for |A→| and 17 m for |B→| to get (A→−B→)max.

(A→−B→)max=(12 m)−(−17 m)=29 m

Substitute 12 m for |A→| and 17 m for |B→| to get (A→−B→)min.

(A→−B→)min=(17 m)−(12 m)=5 m

Therefore, the maximum and minimum of A→−B→ are 29 m and 5 m respectively.

Answer 6

Chapter 1, Problem 74P

(a)

To determine

The maximum and minimum of A→+B→.

(a)

Expert Solution

Answer to Problem 74P

The maximum and minimum of A→+B→ are 29 m and 5 m respectively.

Explanation of Solution

When the two vectors are in the same direction, A→+B→ will be maximum. The maximum of A→+B→ is given by,

(A→+B→)max=|A→|+|B→|

When the two vectors are in the opposite direction, A→+B→ will be minimum. The minimum of A→+B→ is given by,

(A→+B→)min=|B→|−|A→|

Conclusion:

Substitute 12 m for |A→| and 17 m for |B→| to get (A→+B→)max.

(A→+B→)max=(12 m)+(17 m)=29 m

Substitute 12 m for |A→| and 17 m for |B→| to get (A→+B→)min.

(A→+B→)min=(17 m)−(12 m)=5 m

Therefore, the maximum and minimum of A→+B→ are 29 m and 5 m respectively.

Answer 7

Chapter 1, Problem 74P

(a)

To determine

The maximum and minimum of A→+B→.

Answer 8

(a)

Expert Solution

Answer to Problem 74P

The maximum and minimum of A→+B→ are 29 m and 5 m respectively.

Answer 9

(a)

Expert Solution

Answer 10

(a)

Expert Solution

Answer 11

Expert Solution

Answer 12

Explanation of Solution

When the two vectors are in the same direction, A→+B→ will be maximum. The maximum of A→+B→ is given by,

(A→+B→)max=|A→|+|B→|

When the two vectors are in the opposite direction, A→+B→ will be minimum. The minimum of A→+B→ is given by,

(A→+B→)min=|B→|−|A→|

Conclusion:

Substitute 12 m for |A→| and 17 m for |B→| to get (A→+B→)max.

(A→+B→)max=(12 m)+(17 m)=29 m

Substitute 12 m for |A→| and 17 m for |B→| to get (A→+B→)min.

(A→+B→)min=(17 m)−(12 m)=5 m

Therefore, the maximum and minimum of A→+B→ are 29 m and 5 m respectively.

Answer 13

(b)

To determine

The maximum and minimum of A→−B→.

(b)

Expert Solution

Answer to Problem 74P

The maximum and minimum of A→−B→ are 29 m and 5 m respectively.

Explanation of Solution

When the two vectors are in the opposite direction, A→−B→ will be maximum. The maximum of A→−B→ is given by,

(A→−B→)max=|A→|−(−|B→|)=|A→|+|B→|

When the two vectors are in the same direction, A→−B→ will be minimum. The minimum of A→−B→ is given by,

(A→−B→)min=|B→|−|A→|

Conclusion:

Substitute 12 m for |A→| and 17 m for |B→| to get (A→−B→)max.

(A→−B→)max=(12 m)−(−17 m)=29 m

Substitute 12 m for |A→| and 17 m for |B→| to get (A→−B→)min.

(A→−B→)min=(17 m)−(12 m)=5 m

Therefore, the maximum and minimum of A→−B→ are 29 m and 5 m respectively.

Answer 14

(b)

To determine

The maximum and minimum of A→−B→.

Answer 15

(b)

Expert Solution

Answer to Problem 74P

The maximum and minimum of A→−B→ are 29 m and 5 m respectively.

Answer 16

(b)

Expert Solution

Answer 17

(b)

Expert Solution

Answer 18

Expert Solution

Answer 19

Explanation of Solution

When the two vectors are in the opposite direction, A→−B→ will be maximum. The maximum of A→−B→ is given by,

(A→−B→)max=|A→|−(−|B→|)=|A→|+|B→|

When the two vectors are in the same direction, A→−B→ will be minimum. The minimum of A→−B→ is given by,

(A→−B→)min=|B→|−|A→|

Conclusion:

Substitute 12 m for |A→| and 17 m for |B→| to get (A→−B→)max.

(A→−B→)max=(12 m)−(−17 m)=29 m

Substitute 12 m for |A→| and 17 m for |B→| to get (A→−B→)min.

(A→−B→)min=(17 m)−(12 m)=5 m

Therefore, the maximum and minimum of A→−B→ are 29 m and 5 m respectively.

Answer 20

Ch. 1.3 - Give the number of significant figures for all the...Ch. 1.4 - Prob. 1.2CC Ch. 1.5 - The area of a surface can be measured in units of...Ch. 1 - Suppose a friend told you that the density of a...Ch. 1 - Prob. 2Q Ch. 1 - Prob. 3Q Ch. 1 - Prob. 4Q Ch. 1 - Prob. 5Q Ch. 1 - Prob. 6Q Ch. 1 - Prob. 7Q

The maximum and minimum of A → + B → .

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The maximum and minimum of A→+B→.

Answer to Problem 74P

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The maximum and minimum of A→−B→.

Answer to Problem 74P

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