Write a vector in the direction of the vector - - 2- - 2k- that has magnitude 9 units-

Given vector is î 2ĵ + 2k̂ unit vector in the direction of given vector is î 2ĵ +2k̂ nbsp; /√( 1+4+4 ) nbsp; →î 2ĵ +2k̂ nbsp; / 3 ...

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Applications of Cross Product

Write a vecto...

Question

Write a vector in the direction of the vector $^i - 2^j + 2^k$ that has magnitude 9 units.

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Solution

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The vector in the direction of the vector $^i - 2^j + 2^k$ that has magnitude 9 is

(a) $^i - 2^j + 2^k$

(b) $\frac{^i - 2^j + 2^k}{3}$

(d) $9 (^i - 2^j + 2^k)$

A =^i + 2^j + 2^k

B = 3^i + 6^j + 2^k

\to C

\to B

\to A

\to C

^A =^i + 2^j + 2^k

^B = 3^i + 6^j + 2^k

\to C

B

A

\to C

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

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

\to a + \to b

\to a - \to b

12

Find a vector in the direction of vector which has magnitude 8 units.

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