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Bezzdna [24]
3 years ago
7

Please help!!! help me solve this please please please

Mathematics
1 answer:
blagie [28]3 years ago
3 0
C) they are parallel

as the slopes must be equal due to the fact they are both perpendicular to line n ( for a perpendicular line you flip the slope and change the sign , so both of them being perpendicular to n the slopes must be equal)


They cant interest at all since they are perpendicular and they may not be the same line
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Resolve the vector into components. 1. A vector starting at the point Q = (4, 6) and ending at the point P = (1, 2).
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Answer:

1. Horizontal component = -3 units

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2. Horizontal component = 3 units

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Step-by-step explanation:

If a vector M, starting at point A = (a, b) and ending at point B = (c, d) is given, then the vector can be resolved into x and y components as follows;

M = AB

Where;

AB = B - A

AB = (a, b) - (c, d)

AB = (a-c, b-d)

AB = (a-c)i + (b-d)k

<em>Therefore, </em><em>a-c </em><em>and </em><em>b-d</em><em> are the x and y components of the vector M.</em>

<em />

(1) Let the vector be M:

Starting point of M = Q = (4, 6)

Ending point of M = P = (1, 2)

So,

M = PQ

Where;

PQ = Q - P

PQ = (1,2) - (4,6)

PQ = (1-4, 2-6)  

PQ = (-3, -4)

Therefore,

M = PQ = -3i - 4j

The x and y components of M are therefore, -3 and -4 respectively.

(2) Let the vector be M:

Starting point of M = P = (1, 2)

Ending point of M = Q = (4, 6)

So,

M = PQ

Where;

PQ = Q - P

PQ = (4,6) - (1,2)

PQ = (4-1, 6-2)  

PQ = (3, 4)

Therefore,

M = PQ = 3i + 4j

The x and y components of M are therefore, 3 and 4 respectively.

<em>Note: The x and y components are also called the horizontal and vertical components respectively.</em>

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