Can the resultant of two vector is zero?

Can the resultant of two vector is zero?

Yes, two vectors of equal magnitude that are pointing in opposite directions will sum to zero. Two vectors of unequal magnitude can never sum to zero. If they point along the same line, since their magnitudes are different, the sum will not be zero.

Under what condition the sum of three vectors is zero?

If magnitude of resultant of two vectors is exactly equal to the magnitude of the third vector. If direction of resultant of those two vectors is exactly opposite to the direction of the third vector. If all above conditions are satisfied, then the resultant of three vectors will be zero.

Can you add zero to null vector?

We cannot add zero to a null vector. Because zero, a scalar quantity cannot be added with a vector quantity the null vector.

Under what conditions can 3 vectors give zero resultant B can give zero resultant?

(i) When three vectors are not lying in one plance, they can bot produce zero resultant. (ii) When three vectors are lying in a place and are represented in magnitude and direction by the three sides of a triangle taken in the same order, they can prokuce zero resultant.

When three vectors a B and C are added together the result is zero?

Yes , when the sum ( resultant) of any two of them is equal and opposite to the third one. That is if (a + b +c )=0 then we have a + b = -c or a + c = – b or b + c = – a . Geometrically it means the three vectors forms the sides of a closed triangle ABC like AB , BC and CA.

Can you add a vector to a scalar quantity?

A scalar quantity is a quantity which has magnitude only but no direction. For example, distance, speed etc. It is impossible to add the two together because of their different dimensions . This basically means that being a vector quantity a particular physical quantity will have both magnitude and direction.

Why can’t you add a scalar to a vector?

While adding a scalar to a vector is impossible because of their different dimensions in space, it is possible to multiply a vector by a scalar. A scalar, however, cannot be multiplied by a vector.

How do you find the angle of a resultant vector?

1. or , AC = AB cosθ
2. or , AC = OD cosθ
3. = Q cosθ [ AB = OD = Q ]
4. or , BC = AB sinθ
5. or , BC = OD sinθ
6. = Q sinθ [ AB = OD = Q }
7. R = P2+2PQcosθ+Q2 ​
8. Let ϕ be the angle made by resultant R with P . Then,

What part of a vector is always positive?

square root

Can the direction angle of a vector be negative?

For vectors in the fourth quadrant, angle θ is negative, which means that for these vectors, direction angle θA is measured clockwise from the positive x-axis. Similarly, for vectors in the second quadrant, angle θ is negative. Figure 2.19 Scalar components of a vector may be positive or negative.