Question

if the resultant of two vectors is vector p - vector Q then angle between vector P and Q is

answer this​

Answer 1

Answer:

Explanation:

The angle between will be 0°.

If resultant is P-Q, then angle would be 180°

Formula is R² = P² + Q² - 2PQCos(theta)

R is resultant; theta is angle between P & Q; R,P,Q are in Mod value.

(P+Q)² = P² + Q² - 2PQCos(theta)

P² + Q² + 2PQ = P² + Q² - 2PQCos(theta)

2PQ = 2PQCos(theta)

Cos(theta) = 1

Cos(theta) = Cos0°

theta = 0°

Answer 2

Answer:

The correct answer to the given question regarding the two vectors P and Q is that vector P- vector Q is zero.

Explanation:

As per the given question,

Resultant (R) of two vectors = $\sqrt{P^{2} +Q^{2}+2PQcos\alpha }$.

If resultant is (P-Q), then angle would be 180°.

where,

• R is resultant.
• $\alpha$  angle between P and Q.
• R,P,Q are in the Mod value.

$(P+Q)^{2} = P^{2} +Q^{2} + 2PQcos\alpha$ ------------ equation 1

Here,

$(P+Q)^{2} = P^{2} +Q^{2} +2 PQ$ ----------- equation 2

Equating equation 1 and 2 then,

$P^{2} +Q^{2} +2PQ = P^{2} +Q^{2} -PQ cos\alpha \\\\\\2PQ = 2PQ cos\alpha \\\\cos \alpha = 1$

cos $\alpha$ = cos 0°

then the value of the angle ($\alpha$ ) is zero.

Therefore, if the resultant of two vectors is vector p - vector Q then angle between vector P and Q is found to be zero degrees.

To learn more about vectors from the given link.

https://brainly.in/question/48841814

To learn more about angles from the given link.

https://brainly.com/question/25770607

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