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What happens to the resultant when the two vectors are in opposite directions?

What happens to the resultant when the two vectors are in opposite directions?

The direction of the resultant is the same as the two vectors. Thus when the two vectors are in the opposite direction the magnitude of the resultant is the difference of magnitude of the two vectors. The direction of the resultant is the same as the vector having a larger magnitude.

What happens when opposite vectors are subtracted?

The negative of a vector is just another vector of the same magnitude but pointing in the opposite direction. So B is the negative of –B; it has the same length but opposite direction. The subtraction of vector B from vector A is then simply defined to be the addition of –B to A.

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How do you subtract vectors with opposite directions?

Subtracting a vector is the same as adding the negative of the vector. The negative of a vector is a vector with the same magnitude, but the opposite direction.

When you subtract two vectors it will produce a resultant vector?

Draw an arrow to represent the second vector (five blocks to the north). Place the tail of the second vector at the head of the first vector, as shown in Figure 5.4(b). Figure 5.4 A vertical vector is added. If there are more than two vectors, continue to add the vectors head-to-tail as described in step 2.

What does it mean to subtract a vector?

Vector subtraction is the process of taking a vector difference, and is the inverse operation to vector addition.

When two vectors P and Q are acting in the same direction then resultant is?

The resultant of two forces P and q is right angle to P, the resultant of P and Q acting at the same angle is at right angle to Q.

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When two vectors are parallel in the opposite direction the angle between them is?

The angle between parallel vectors is zero (if going in same direction) or 180 if going in the opposite direction.

What happens when two vectors are in the opposite direction?

The second vector points in the opposite direction so you end up backtracking which has the same effect of subtracting from the first vector. When two vectors are in opposite direction we subtract them to get their resultant. Why?

How do you find the resultant of two vectors acting simultaneously?

The law states that “If two vectors acting simultaneously at a point are represented in magnitude and direction by the two sides of a parallelogram drawn from a point, their resultant is given in magnitude and direction by the diagonal of the parallelogram passing through that point.”

How do you subtract two vectors with the same magnitude?

R = A + (- B) Thus, subtracting the two vectors is the same as adding vector A and vector B’s negative (i.e., B ). The vectors B and – B will have the same magnitude, but -B’ s direction will be opposite to that of vector B. Vector subtraction also works when the two vectors are given in component form or as column vectors.

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Why do we subtract negative vectors from Positive Vectors?

We don’t really subtract them. To sum vectors we add them. The fact that one vector is in the opposite direction means that its net is negative. So while we add them we are actually equivalently adding a negative to the first.