Consider the following statements A and B given below and identify the correct answer.$$A)$$ Vectors $$i^+3j^+5k^$$ and $$2i^+6j^+10k^$$ are $$parallelB)$$ $$i^+j^+k^$$ represents a unit vector

Correct option is 2A is true B is false

Questions

Consider the following statements A and B given below and identify the correct answer.
A) Vectors $\hat{i} + 3 \hat{j} + 5 \hat{k}$ and $2 \hat{i} + 6 \hat{j} + 10 \hat{k}$ are parallel
B) $\hat{i} + \hat{j} + \hat{k}$ represents a unit vector

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Both A and B false

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detailed solution

Correct option is B

If the vectors and are parallel then . In statement (A) , So Statement (A)is trueMagnitude of unit vector is 1 .But in statement (B) , magnitude of the vector is = √3 .So statement-(B) is falseTherefore option - (2) is right.

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Consider the following statements A and B given below and identify the correct answer.A) Vectors i^+3j^+5k^ and 2i^+6j^+10k^ are parallelB) i^+j^+k^ represents a unit vector

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Ready to Test Your Skills?

free study material

Consider the following statements A and B given below and identify the correct answer.
A) Vectors $\hat{i} + 3 \hat{j} + 5 \hat{k}$ and $2 \hat{i} + 6 \hat{j} + 10 \hat{k}$ are parallel
B) $\hat{i} + \hat{j} + \hat{k}$ represents a unit vector