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One Dimensional Object

If p vector +...

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If p vector + Q vector = Pvector - Q vector, then -- a) P vector = zero vector b) Q vector = zero vector c) magnitude of P =1 d) magnitude of Q=1

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Q. If P vector = 2i+4j+14k and Q vector =4i+4j+10k find the magnitude of Pvector +Q vector.

p, q, r

are three mutually perpendicular vectors of the same magnitude and if a vector

x

satisfies the equation

p \times ((x - q) \times p) + q \times ((x - r) \times q) + r \times ((x - p) \times r) = 0,

then vector the

x

\to p =^i +^j +^k

\to q =^i - 2^j +^k

, find a vector of magnitude

5 \sqrt{3}

units perpendicular to the vector

\to q

and coplanar with vectors

\to p

\to q

Q. The magnitude of vector product of two vectors

¯ ¯¯ ¯ P \times ¯ ¯¯ ¯ Q

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