If a is any vector then a -2- a -2- a -k-2-A- a2 B- 2 a 2C- 3 a 2D- 4 a 2

The correct option is B 2a^2(a ×î)^2 +(a ×ĵ)^2+(a ×k̂)^2=2a^2 ...

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Standard XII

Mathematics

Test for Collinearity of Vectors

If a is any v...

Question

If a is any vector then $(a \times^i)^{2} + (a \times^j)^{2} + (a \times^k)^{2}$ =

a^{2}

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2 a^{2}

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3 a^{2}

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4 a^{2}

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Solution

The correct option is B $2 a^{2}$
$(a \times^i)^{2} + (a \times^j)^{2} + (a \times^k)^{2} = 2 a^{2}$

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Similar questions

Q. If a is any vector then

(a \times^i)^{2} + (a \times^j)^{2} + (a \times^k)^{2}

Q. If a is any vector then

(a \times^i)^{2} + (a \times^j)^{2} + (a \times^k)^{2}

Q. For any vector

¯ a

, the value of

{(¯ a \times^i)}^{2} + {(¯ a \times^j)}^{2} + {(¯ a \times^k)}^{2}

is equal to

For any vector
$\to a, t h e v a l u e o f (\to a \times^i)^{2} + (\to a \times^j)^{2} + (\to a \times^k)^{2} i s (a) {\to a}^{2} (b) 3 \to a (c) 4 {\to a}^{2} (d) 2 {\to a}^{2}$

Q. Through the vertex

O

of the parabola

y^{2} = 4 a x

a perpendicular is drawn to any tangent meeting it at

P

and the parabola at

Q

. Then

O P \cdot O Q =

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If a is any vector then (a×^i)2+(a×^j)2+(a×^k)2 =

The correct option is B 2a2(a×^i)2+(a×^j)2+(a×^k)2=2a2

If a is any vector then $(a \times^i)^{2} + (a \times^j)^{2} + (a \times^k)^{2}$ =

The correct option is B $2 a^{2}$
$(a \times^i)^{2} + (a \times^j)^{2} + (a \times^k)^{2} = 2 a^{2}$