16:I[8216,["972","static/chunks/972-b28da0de92681928.js","47","static/chunks/47-a7f06e9eda1ac756.js","115","static/chunks/app/%5Bexam%5D/questions/%5Byear%5D/%5Bsubject%5D/%5Bchapter%5D/%5BquestionId%5D/page-7b6f0a12b9cc0206.js"],"BackButton"] 17:I[1553,["972","static/chunks/972-b28da0de92681928.js","47","static/chunks/47-a7f06e9eda1ac756.js","115","static/chunks/app/%5Bexam%5D/questions/%5Byear%5D/%5Bsubject%5D/%5Bchapter%5D/%5BquestionId%5D/page-7b6f0a12b9cc0206.js"],"QuestionViewer"] 15:T49a,{"@context":"https://schema.org","@type":"Quiz","name":"Comedk 2024 Vector Algebra PYQ with Solution","url":"https://pyq-test-series-platform-alsjdcxu2-sameers-projects-41c5a71e.vercel.app/comedk/questions/2024/mathematics/vector-algebra/lwvye409","educationalLevel":"Entrance exam preparation","about":"Comedk / Mathematics / Vector Algebra","hasPart":{"@type":"Question","name":"Comedk 2024 Vector Algebra PYQ with Solution","text":"\\text { The angle between } \\hat{\\imath}-\\hat{\\jmath} ~\\&~ \\hat{\\jmath}-\\hat{k} \\text { is }","eduQuestionType":"mcq","acceptedAnswer":{"@type":"Answer","text":"B"},"comment":{"@type":"Comment","text":"Let's determine the angle between the vectors \\hat{\\imath} - \\hat{\\jmath} and \\hat{\\jmath} - \\hat{k} using the dot product formula. Define the vectors in component form: \\mathbf{u} = \\hat{\\imath} - \\hat{\\jmath} = (1, -1, 0) \\mathbf{v} = \\hat{\\jmath} - \\hat{k} = (0, 1, -1) Compute the dot product of the two vectors: \\mathbf{u} \\cdot \\mathbf{v} = (1)(0) + (-1)(1) + (0)(-1) = -1 Calculate the magnitudes (norms) of each vector: For \\mathbf{u}: \\|\\mathbf{u}\\| = \\sqrt{1^2 + (-1)^2 + 0^2} = \\sqrt{2} F..."}}}18:T50b,

Let's determine the angle between the vectors $$\hat{\imath} - \hat{\jmath}$$ and $$\hat{\jmath} - \hat{k}$$ using the dot product formula.

Define the vectors in component form:

$$\mathbf{u} = \hat{\imath} - \hat{\jmath} = (1, -1, 0)$$

$$\mathbf{v} = \hat{\jmath} - \hat{k} = (0, 1, -1)$$

Compute the dot prod

Vector Algebra

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