The scalar product of two unit vectors is 0.5. What is the angle between them?

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Question: The scalar product of two unit vectors is 0.5. What is the angle between them?

Options:

Correct Answer: 60°

Solution:

cos(θ) = 0.5, θ = cos⁻¹(0.5) = 60°.

The scalar product of two unit vectors is 0.5. What is the angle between them?

The scalar product of two unit vectors is 0.5. What is the angle between them?

Step 1: Understand that the scalar product (or dot product) of two vectors is related to the cosine of the angle between them.
Step 2: Recall the formula for the scalar product of two unit vectors: scalar product = cos(θ).
Step 3: Since the scalar product is given as 0.5, we can write the equation: cos(θ) = 0.5.
Step 4: To find the angle θ, we need to use the inverse cosine function: θ = cos⁻¹(0.5).
Step 5: Calculate θ using a calculator or trigonometric table: θ = 60°.

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