vector A=(i+j), B=(2i-j). coplanar vector C such that A.C = B.C = A.B is...

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Let A=(i+j)and B=(2i-j).The magnitude of a coplanar vector C such that A.C=B.C=A.B is given by

Let  A = i + j and B = 2 i − j  The magnitude of a coplanar vector C such that

Let 𝐴 ⃗=(𝑖 ̂+𝑗 ̂ ) and 𝐵 ̂=(2𝑖 ̂−𝑗 ̂). The magnitude of a coplanar vector 𝐶 ⃗ such that 𝐴 ⃗.𝐶 ⃗=𝐵

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[IIT 1987] Find the value of 1/(1-a) + 1/(1-b) + 1/(1-c) where ai+j+k, i+bj+k, i+j+ck are coplanar.

Let a=2i+j-2k and b=i+j if c is a vector such that a.c=∣c∣, ∣c−a∣=2 and the angle | Vector Algebra