A vector a of length 2 units is making an angle 600 with each of the X-axis and Y-axis. If another vectors bof length 2 untis is making an angle 450 with each of the Y-axis and Z-axis then a×b=

a=22 i+22·j=i+j b=2 j+k2=j+k a×b=i-2 j+k

A vector a of length 2 units is making an angle 600 with each of the X-axis and Y-axis. If another vectors bof length 2 untis is making an angle 450 with each of the Y-axis and Z-axis then a×b=

a=22 i+22·j=i+j b=2 j+k2=j+k a×b=i-2 j+k

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A vector $a$ of length 2 units is making an angle $60^{0}$ with each of the X-axis and Y-axis. If another vectors $b$ of length $\sqrt{2}$ untis is making an angle $45^{0}$ with each of the Y-axis and Z-axis then $a \times b =$

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$(1 - \sqrt{2}) i - j + k$

$i - \sqrt{2} j + k$

$\sqrt{2} i - j + 2 k$

$i - 2 j + (1 - \sqrt{2}) k$

answer is A.

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$a = \frac{2}{2} i + \frac{2}{2} \cdot j = i + j b = \sqrt{2} (\frac{j + k}{\sqrt{2}}) = j + k a \times b = i - \sqrt{2} j + k$

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A vector a of length 2 units is making an angle 600 with each of the X-axis and Y-axis. If another vectors bof length 2 untis is making an angle 450 with each of the Y-axis and Z-axis then a×b=

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A vector $a$ of length 2 units is making an angle $60^{0}$ with each of the X-axis and Y-axis. If another vectors $b$ of length $\sqrt{2}$ untis is making an angle $45^{0}$ with each of the Y-axis and Z-axis then $a \times b =$