If a-k- and b-2 -0 -k- then the vectors c- satisfying the conditions- i that it is coplanar with a- and b- ii that it is perpendicular tob- and iii that a - c -7- isA- -3-2-5-2-3 k-B- -3 -5 -6 k-C- -6 -0 -5 k-D- -2 -2 k-

The correct option is A 3/2î+5/2ĵ+3k̂Given a⃗= î+ĵ+k̂ b⃗=2î+0ĵ+k̂ Let c = xî+yĵ+zk̂ If a⃗,b⃗,c⃗ are coplanar [a⃗,b⃗,c⃗]=0 [ 1 amp; 1 amp;1; 2 ...

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Applications Scalar Triple Product

If a⃗=-î+ĵ+k̂...

Question

If $\to a = -^i +^j +^k$ and $\to b = 2^i + 0^j +^k$ then the vectors $\to c$ satisfying the conditions, (i) that it is coplanar with $\to a$ and $\to b$ (ii) that it is perpendicular to $\to b$ , and (iii) that $\to a . \to c = 7$ , is

- \frac{3}{2}^i + \frac{5}{2}^j + 3^k

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- 3^i + 5^j + 6^k

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- 6^i + 0^j + 5^k

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-^i + 2^j + 2^k

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\to a = -^i +^j +^k

\to b = 2^i + 0^j +^k

\to c

\to a

\to b

\to b

\to a . \to c = 7

\to a = -^i +^j +^k

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\to c

\to a & \to b

\to b

\to a \cdot \to c = 7

\to a = 3^i - 2^j +^k,

\to b = 2^i - 4^j - 3^k, \to c = -^i + 2^j + 2^k

\to a + \to b + \to c = 4^i - 4^j

\to a =^i -^j + 2^k, \to b = 2^i + 3^j +^k, \to c =^i -^k

\to a + 2 \to b - 3 \to c

\sqrt{78}

\to a = 2^i +^j + 3^k

\to b = 3^i + 2^j +^k

\to c =^i -^j - 4^k

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(\to a \times \to b) \times (\to c \times \to d) =

\to a =^i +^j -^k, \to b = -^i + 2^j +^k

\to c = -^i + 2^i -^k . A

\to a + \to b

\to b + \to c

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