Two position vector of magnitude 5cms and 7 cms are inclined at 30° and 60° with x-axis respectively.find their scalar product.
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Scalar product is the dot product.
The angle of 5 cm vector with the x-axis is 30° and the angle of 7 cm with the x-axis is 60°. Hence, the angle between 5 cm vector and 7 cm vector = 60° - 30° = 30°
Hence, the angle between 5 cm and 7 cm vector = 30°
Now, the dot product of two vectors = 5 × 7 × Cos 30°
Scalar product = 35 Cos 30°
Scalar product = 30.31 cm^2
Hence, the scalar product is 30.31 cm^2
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