Question

when a vector is multiplied by a negative number its direction changes at an angle of a/0 b/90 c/180 d/360

Answer 1

Answer:

option 3

Explanation:

|-A|=-|A|

|-A|=-|A|i.e negative sign indicates the vector has direction opposite to the direction of given vector.

|-A|=-|A|i.e negative sign indicates the vector has direction opposite to the direction of given vector. ,

the new angle become

1. given angle+π( or 180)
2. given angle-π( or 180)

Answer 2

When a vector is multiplied by a negative number its direction changes at an angle of 180° (option c).

If we multiply the vector A by -1 x (any vector), its direction will change by 180°

A vector quantity has the following properties:

• Magnitude
• Direction

Thus, when a vector is multiplied by any quantity, its magnitude and direction change.

Consider a vector quantity A. The magnitude of this vector is represented by |A|, and the direction θ.

Now consider, X is a negative scalar and A is the original vector, X.A will have the following characteristics:

|X.A| = X|A|

The direction will be θ + 180°.

Hence, the direction changes by 180°.