Find wether the vectors 2i+3j+4k and 4i+6j+8k are parallel or not.

Dear Student,

A=2i^+3j^+4k^B=4i^+6j^+8k^cosθ=A.BABcosθ=2i^+3j^+4k^4i^+6j^+8k^4+9+1616+36+64cosθ=8+18+3229116cosθ=5822929=5858=1θ=0°Hence, vector A & B are parallel.

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If they are parallel then their dot product/ magnitude must be one 8+18+32 / root 29. 3364 =cos A As not equal to 1 so not parallel as cos 0 must be 1
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