cos(θ) = (A · B) / (|A||B|) = (1*2 + 1*2) / (√2 * √8) = 4 / (2√2) = √2. θ = 45 degrees.

The angle between u and v is 90 degrees since they are perpendicular.

In uniform circular motion, velocity is tangential and acceleration is radial, hence the angle is 90°.

The angle between two tangents from a point outside a circle is given by the formula: angle = 90° - (angle subtended by the radius at the point of tangency). Here, the angle is 45°.

The angle θ = cos⁻¹((A . B) / (|A| |B|)) = cos⁻¹(0) = 90 degrees.

The angle for the first minimum is given by sin θ = λ/a, where a is the slit width. Thus, sin θ = 500 nm / 0.5 mm = 0.001, leading to θ ≈ 30°.

Light is completely polarized upon reflection at Brewster's angle, which is given by the formula tan(θ_B) = n2/n1.

Arc length = (θ/360) * 2πr; 5 = (θ/360) * 2π * 10; θ = (5 * 360) / (20π) = 30 degrees.

The angular distance is calculated as |90° - 30°| = 60°.

The Earth rotates 360 degrees in 24 hours, so in 1 hour it rotates 360/24 = 15 degrees.

The Earth rotates 360 degrees in 24 hours, so in 1 hour it rotates 15 degrees. Therefore, in 4 hours, it rotates 4 * 15 = 60 degrees.

The Earth rotates 360 degrees in 24 hours, so in 1 hour, it rotates 360/24 = 15 degrees.

Angular momentum L = mvr, where v is the tangential speed. L = 2 kg * 4 m/s * 3 m = 24 kg·m²/s.

The angular momentum L of a rolling object about its center of mass is given by L = mv + Iω, where I is the moment of inertia and ω is the angular velocity.

Angular velocity (ω) = 2π * (300/60) = 10π rad/s.

Angular velocity ω = θ/t = (10 * 2π rad) / 5 s = 4π rad/s.

'Scarce' is the opposite of 'abundant'.

'Reject' is the opposite of 'accept', meaning to refuse to take or agree to something.

'Modern' is the opposite of 'ancient'.

'Dim' is the antonym of 'bright', referring to a lack of light or brightness.

'Deceitful' is the opposite of 'Candid', which means truthful and straightforward.

'Fragmented' is the opposite of 'cohesive', indicating a lack of unity.

'Simple' is the opposite of 'complex', indicating something that is easy to understand or do.

The word 'easy' is an antonym of 'difficult'.

'Diligent' means showing care in one's work or duties, while 'lazy' means unwilling to work or use energy.

'Late' is the opposite of 'early'.

'Contract' is the opposite of 'expand', meaning to decrease in size.

'Rare' is the opposite of 'frequent'.

'Selfish' is the antonym of 'generous', referring to someone who is not willing to share or give.

'Sad' is the opposite of 'happy'.