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A vectors of magnitude 12 units and another vector of magnitude 5.8 units point in directions differing by 55°. Find the scalar product of the two vectors.

A vectors  of magnitude 12 units and another vector  of magnitude 5.8 units point in directions differing by 55°. Find the scalar product of the two vectors.

Grade:upto college level

1 Answers

Navjyot Kalra
askIITians Faculty 654 Points
8 years ago
Substituting 12 units is the magnitude of a and 5.8 units is the magnitude of b and 55̊ for the direction ϕ in the equation a . b = ab cosϕ,
a . b = ab cosϕ
= (12) (5.8) cos 55̊)
= 39.93 …… (2)
Rounding off to one significant figure, scalar product of two vectors will be 40.

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