Insert rcredit.and answer the problems. Please show all appropriate work for13. For the three dimensional vectors a 2i + j-3k and b = i- 2j -k, find(a) a. b(b) the vector a x b(c) Are the vectors a, b are parallel, perpendicular, or neither?(d) Find the angle between the vectors a and b?(e) Find an unit vector perpendicular to both a and b?(g) Find Proj?(f) Find Comp(h) Find the area of the triangle formed by the adjacent vectors a and b?with the x-axis ?(i) Find the direction cosine and direction angle of the vector b

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Asked Nov 21, 2019
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Insert r
credit.
and answer the problems. Please show all appropriate work for
13. For the three dimensional vectors a 2i + j-3k and b = i- 2j -k, find
(a) a. b
(b) the vector a x b
(c) Are the vectors a, b are parallel, perpendicular, or neither?
(d) Find the angle between the vectors a and b?
(e) Find an unit vector perpendicular to both a and b?
(g) Find Proj
?
(f) Find Comp
(h) Find the area of the triangle formed by the adjacent vectors a and b?
with the x-axis ?
(i) Find the direction cosine and direction angle of the vector b
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Insert r credit. and answer the problems. Please show all appropriate work for 13. For the three dimensional vectors a 2i + j-3k and b = i- 2j -k, find (a) a. b (b) the vector a x b (c) Are the vectors a, b are parallel, perpendicular, or neither? (d) Find the angle between the vectors a and b? (e) Find an unit vector perpendicular to both a and b? (g) Find Proj ? (f) Find Comp (h) Find the area of the triangle formed by the adjacent vectors a and b? with the x-axis ? (i) Find the direction cosine and direction angle of the vector b

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Expert Answer

Step 1

Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and specify the other subparts (up to 3) you’d like answered.

To determine:

Part a) Scalar product of a and b.

Part b) Vector product of a and b.

Part c) If the vectors a and b are parallel, perpendicular or neither.

Step 2

Given:

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a 2i3k i-2j-2k

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Step 3

Part a)

...
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a-b(2i+j3k) (i-2j-2k) -21+1(2)-3- (-2) =2-2+6 6

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