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The unit vector b^=⎝⎛p0q⎠⎞ is perpendicular to a=⎝⎛132⎠⎞. Find the possible values of p and q.
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Find a unit vector perpendicular to the vectors i+2j+2k and 2i+j−2k.
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Consider the vectors a=3i−2j+k and b=i+5j−2k.
Find
a−2b
∣a+b∣
Find the angle between a and b.
Find the area of the triangle with two sides a and b.
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Consider the lines with vector equations
where a∈R.
Given that the lines are perpendicular, Find the possible value(s) for a.
Now consider the case where a>0.
Determine with justification whether the lines are parallel, intersecting or skew.
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