For vectors a=(10,2,5) and b=(1,11,2), what is cos theta between them?
Vectors a=(10,2,5) और b=(1,11,2) के बीच angle theta के लिए cos theta क्या है?
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Correct Answer
D. 42 / sqrt(16254)
ExplanationStep 1: use a·b=|a||b|cosθ. Step 2: dot=42, |a|^2=129, |b|^2=126, so cosθ=42/sqrt(16254). Step 3: tip: dot product is the direct method for angle between vectors.
Step 1: dot product formula a·b=|a||b|cosθ लगाइए। Step 2: dot=42, |a|^2=129, |b|^2=126, इसलिए cosθ=42/sqrt(16254)। Step 3: tip: angle between vectors में dot product सबसे direct method है।