Can two vectors of unequal magnitude add up to give the zero vector can three unequal vectors under what conditions?

Can two vectors of unequal magnitude add up to give the zero vector can three unequal vectors under what conditions?

Since a scalene triangle exists, three unequal vectors can add up to zero. The conditions for three vectors to form a triangle are: The sum of magnitudes of any two of them must be greater than the magnitude of third. magnitude of sum of two vectors must be equal to the magnitude of third.

Can two vectors of unequal magnitude ever add to give a zero vector?

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.

Can 3 non coplanar vectors give zero resultant?

So their resultant can never be zero.

Can two vectors be Noncoplanar?

Therefore vectors are not coplanar as their scalar triple product is not zero.

How do you find the scalar triple product of a vector?

The scalar triple product of three vectors a, b, and c is (a×b)⋅c. It is a scalar product because, just like the dot product, it evaluates to a single number. (In this way, it is unlike the cross product, which is a vector.)

What is the formula of vector triple product?

1 The vector triple product of u, v and w is u × (v × w).

How do you find the scalar product of a vector?

This is the formula which we can use to calculate a scalar product when we are given the cartesian components of the two vectors. Note that a useful way to remember this is: multiply the i components together, multiply the j components together, multiply the k components together, and finally, add the results.

What is the product of a vector?

The vector product of two vectors is a vector perpendicular to both of them. Its magnitude is obtained by multiplying their magnitudes by the sine of the angle between them.

How do you find the scalar multiple of a vector?

To multiply a vector by a scalar, multiply each component by the scalar. If →u=⟨u1,u2⟩ has a magnitude |→u| and direction d , then n→u=n⟨u1,u2⟩=⟨nu1,nu2⟩ where n is a positive real number, the magnitude is |n→u| , and its direction is d .