Let a- 2- -2 3 - 2 2 k- and b- - -2 2 - 2 k- The vector component of a- perpendicular to the direction of b- is

The correct option is B 426î 897ĵ + 9654k̂489 Vector component of a⃗ #160;perpendicular to b⃗ = a⃗ (a⃗.b⃗)|b⃗|^2b⃗ Thus, here, (2î + ...

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Byju's Answer

Standard XII

Mathematics

Parametric Equation of Parabola

Let a⃗= 2î ...

Question

Let $\to a = 2^i + 23^j + 22^k$ and $\to b =^i + 22^j + 2^k .$ The vector component of $\to a$ perpendicular to the direction of $\to b$ is

\frac{- 426^i - 897^j + 9654^k}{489}

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\frac{426^i - 897^j + 9654^k}{489}

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\frac{426^i + 897^j + 9654^k}{489}

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\frac{426^i - 897^j - 9654^k}{489}

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Solution

The correct option is B $\frac{426^i - 897^j + 9654^k}{489}$
Vector component of $\to a$ perpendicular to $\to b = \to a - \frac{(\to a . \to b)}{| \to b |^{2}} \to b$
Thus, here, $(2^i + 23^j + 22^k) - \frac{552}{489} (^i + 22^j + 2^k) = \frac{426^i - 897^j + 9654^k}{489}$

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Similar questions

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Let →a=2^i+23^j+22^k and →b=^i+22^j+2^k. The vector component of →a perpendicular to the direction of →b is

The correct option is B 426^i−897^j+9654^k489Vector component of →a perpendicular to →b=→a−(→a.→b)|→b|2→bThus, here, (2^i+23^j+22^k)−552489(^i+22^j+2^k)=426^i−897^j+9654^k489

Let $\to a = 2^i + 23^j + 22^k$ and $\to b =^i + 22^j + 2^k .$ The vector component of $\to a$ perpendicular to the direction of $\to b$ is

The correct option is B $\frac{426^i - 897^j + 9654^k}{489}$
Vector component of $\to a$ perpendicular to $\to b = \to a - \frac{(\to a . \to b)}{| \to b |^{2}} \to b$
Thus, here, $(2^i + 23^j + 22^k) - \frac{552}{489} (^i + 22^j + 2^k) = \frac{426^i - 897^j + 9654^k}{489}$