Let a × b + b = c × a + b × c and ∣ a ∣ = ∣ b ∣ . Which statements are necessarily true?

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Mathematics - Vector Question with Solution | TestHub

MathematicsVectorMiscellaneous/MixedHard2 minQB

MathematicsHardmultiple choice

Let $a \times b + b = c \times a + b \times c$ and $∣ a ∣ = ∣ b ∣$ . Which statements are necessarily true?

Options:(select one or more)

Answer:

A, B, C

Solution:

Dotting with $a$ and $b$ and using equal magnitudes forces $a = b = 0$ . Therefore the first three scalar products vanish, while $c$ need not be zero.

Stream:JEESubject:MathematicsTopic:VectorSubtopic:Miscellaneous/Mixed

⏱ 2mℹ️ Source: QB

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