The difference between twice a number, x, and a smaller number, y, is 3. The sum of twice the number and the smaller number is –
2 answers:
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Refer to the figure below.
Define unit vectors as follows:
in the eastern direction
in the northern direction
Given:
Vectors a and b point due west and south respectively. Therefore
Part (a)
The magnitude is
|-69(√[1² + 1²])| = 69√2 = 97.58.
The direction relative to west is
θ = tan⁻¹ (b/a) = tan⁻¹ 1 = 45° south of west
Answer:
The magnitude of (a + b) is 97.58 or 69√2.
The direction is 45° south of west.
Part (b).
The magnitude is
|69(√(1+1)| = 69√2 = 97.58.
The direction relative to west is
tan⁻¹ (b/a) = 45° north of west.
Answer:
The magnitude of (a-b) is 97.58 or 69√2.
The direction is 45° north of west.
Define unit vectors as follows:
Given:
Vectors a and b point due west and south respectively. Therefore
Part (a)
The magnitude is
|-69(√[1² + 1²])| = 69√2 = 97.58.
The direction relative to west is
θ = tan⁻¹ (b/a) = tan⁻¹ 1 = 45° south of west
Answer:
The magnitude of (a + b) is 97.58 or 69√2.
The direction is 45° south of west.
Part (b).
The magnitude is
|69(√(1+1)| = 69√2 = 97.58.
The direction relative to west is
tan⁻¹ (b/a) = 45° north of west.
Answer:
The magnitude of (a-b) is 97.58 or 69√2.
The direction is 45° north of west.
Answer:
Integers, Terminating Decimals, Recurring Decimals, Proper and Improper Fractions.
Step-by-step explanation:
The following subset of the real number system can be written in the form , b≠0.
Integers(ℤ): These are positive and negative whole numbers. For example, 5 can be written as
Terminating Decimals: These are fractions that when converted to decimal numbers have an end.
e.g.
Recurring Decimals: These are fractions that when converted to decimal numbers do not have an end.
e.g.
Proper Fractions: These are fractions of the form where a<b. An examples is
Improper Fractions: These are fractions of the form where a>b. An examples is
Answer:
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Step-by-step explanation:
