The position vector of a point P is r-x i-y j-z k- where x and y are positive integers and a-i-j-k- If r-a-10- then the number of possible positions of P is -A- 48B- 72C- 24D- 36

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Consistent Pair of Linear Equations

The position ...

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The position vector of a point P is $\to r = x \to i + y \to j + z \to k$ where x and y are positive integers and $\to a = \to i + \to j + \to k$ If $\to r . \to a = 10$ , then the number of possible positions of P is :

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\to r = x \to i + y \to j + z \to k

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

\to r . \to a = 10

\to r = x^i \to + y^j + z^k,

x ϵ N, y ϵ N, z ϵ N,

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

\to r . \to a = 10

\to a = \to i + \to j + \to k,

\to r . \to i, \to r . \to j

\to r . \to k

\to r . \to a \leq 12

\to r

\to i \times (\to a \times \to i) + \to j \times (\to a \times \to j) + \to k \times (\to a \times \to k)

\to i, \to j, \to k

\to 0

\to i + \to j,

2 \to j - \to k

\to i + \to k

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