Question

There are two vectors whose magnitude are respectively 2m and 4m
the angle between them is 30°. Calculate (1) scalar product of the two
vectors and (2) the magnitude of their vector products.​

Answer 1

Explanation:

1) scalar product(Dot product) of the two vectors are:

`A × `B = |`A| × |`B| × cosX

= 2×4×cos30°

= 8× √3/2. [ cos30°=√3/2]

= 8√3/2

2) vector product(cross product) of the two vectors are :

`A×`B=|`A|×|`B|sinx

= 2×4×sin30°

= 8×1/2. [sin30°=1/2]

= 4

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