Question

8. If the sum A + B of two vectors A and B equals th
difference A-B between them, then
(a) A is a null vector
(b) B is a null vector
(c) both A and B are null vectors
(d) neither A nor B is a null vectors​

Answer 1

Answer:

option (d)

Explanation:

A+B=A²+2AB cos0+B²

A-B=A²-2AB cos0+B²

Answer 2

Option (b) B is a null vector

If the sum A + B of two vectors A and B equals the difference A-B between them, then

A+B=A-B

which gives B=-B This is possible only if B is a null vector.

Hence the correct choice is (b).

• The null vector is defined as having no direction and zero magnitude.
• A vector with a magnitude of zero is referred to as a null vector. A null vector can have any direction or none at all. In most cases, a null vector is either the product of two equal vectors acting in opposition or a number of vectors acting in various directions.
• This null vector will have no direction and zero magnitude. Two persons pushing cars in opposite directions with the same or equal force or two people tugging a rope from opposite sides with the same or equal force would serve as examples in the actual world.

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