Engineering Board Exam Reviewer · Vector Algebra: Dot and Cross Products · medium

Find the angle between A= i+2 j+2 k and B=2 i- j+2 k.

1. 26.39°
2. 63.61°
3. 48.19°
4. 116.39°

Answer

B. 63.61°

Solution

A· B=2-2+4=4 and | A|=| B|=3. So =4/9 and = -1 49 63.61°.

More Vector Algebra: Dot and Cross Products questions

1. Find A× B if A= i + 2, j + 3, k and B=2, i - j + k.
2. Find the magnitude of A=2 i-2 j+ k.
3. Find A· B if A=2, i + 3, j - k and B= i - 2, j + 4, k.
4. Find a unit vector perpendicular to both A=2 i- j+ k and B= i+2 j- k.
5. Find the volume of the parallelepiped with edges A= i+2 k, B=3 j+ k, and C=2 i+ j.
6. Find the scalar projection of A=3 i+4 j onto B= i+2 j+2 k.
7. Find the area of the parallelogram whose adjacent sides are A=3 i+ j+2 k and B= i- j+2 k.

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