The scalar product of vectors ⃗ A→ = 2𝚤̂ + 5 𝑘and ⃗ B→ = 3𝚥̂ + 4 𝑘is
Question
The scalar product of vectors ⃗ A→ = 2𝚤̂ + 5 𝑘and ⃗ B→ = 3𝚥̂ + 4 𝑘is
Solution
The scalar product (also known as the dot product) of two vectors is calculated by multiplying their corresponding components and then adding those products together.
Given vectors A = 2i + 5k and B = 3j + 4k, we can see that vector A has no j component and vector B has no i component. Therefore, when we multiply the corresponding components, these will result in zero.
The scalar product of A and B is therefore:
A.B = (20) + (03) + (5*4) = 0 + 0 + 20 = 20.
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