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rewona [7]
3 years ago
8

Which vector has a greater magnitude?

Mathematics
1 answer:
jonny [76]3 years ago
7 0

Given:

Length of first vector = 2 meters

Length of second vector = 4 meters

To find:

The vector which has a greater magnitude.

Solution:

We know that, magnitude of a vector represents the length of it.

The first vector that is 2 meters long has a magnitude 2.

The second vector that is 4 meters long has a magnitude 4.

Clearly, 4 is greater that 2, i.e., 4 > 2. So, magnitude of second vector is greater.

Therefore, the vector that is 4 meters long has greater magnitude.

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Answer:

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Step-by-step explanation:

Given:

The figure is a kite having points QRST.

It has short diagonal QS.

Long diagonal RT

Diagonal Intersect at point P.

side QR = 10m

Diagonal QS = 12m

We need to find the length of segment RP.

According Diagonal Property of kite.

It states that Diagonals of Kite perpendicularly bisects each other.

QP = PS

RP = PT

But QS = QP + PS

QS = QP + QP

QS = 2 QP

QP = \frac{1}{2} QS = \frac{1}{2}\times 12 = 6 m

Now In Δ QPR

m∠ P = 90° (Diagonals of a kite is perpendicular to each other)

Now by Pythagoras theorem;

QR^2 = QP^2+RP^2\\RP^2 = QR^2 - QP^2\\RP^2 = (10)^2- (6)^2\\RP^2 = 100 -36\\RP^2=64\\RP = \sqrt{64} =8\ m

Hence the Length of segment RP is 8m.

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