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Step 1:

Let the vectors it is in

*
.

You are watching: Find two unit vectors orthogonal to both

The cross product

*
is orthogonal to both
*
and
*
.

*

*

*

*
.

Step 2:

*

Formula because that the unit vector

*

The unit vector

*

*

*

*

*

*

The second unit vector orthoganal to both

*
and also
*

*
(This is an adverse of the vault unit vector).

The two unit vectors are

*
and also
*
.

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Solution:

The two unit vectors room

*
and
*
.

answeredFeb 9, 2015by davidExperteditedFeb 9, 2015by david please log in or register to add a comment. associated questionsConsider the clues below. P(−1, 3, 1), Q(0, 5, 2), R(3, 2, −1)?askedFeb 7, 2015in CALCULUSby anonymousunitvectors-orthogonal uncover a unit vector the is orthogonal come both v = 3i +k and w = -2i - j?askedNov 15, 2013in PRECALCULUSby anonymousApprenticevectorsorthogonalunit find the projection of u onto v. Then create u together the amount of 2 orthogonal vectors, among which is projv u.askedJan 26, 2015in TRIGONOMETRYby anonymousorthogonal-projection discover the cross product a × b and also verify the it is orthogonal come both a and also b.askedFeb 17, 2015in CALCULUSby anonymouscross-product uncover unit vectors tangent and normal to the curveaskedDec 9, 2017in CALCULUSby anonymousequation-of-a-normal-lineequation-of-a-tangent-normal recognize whether the vectors u and also v room parallel, orthogonal, or neither. U = , v = askedAug 4, 2014in CALCULUSby Tdog79Pupilcalculus recognize whether the vectors u and v are parallel, orthogonal, or neither. U = , v = askedAug 4, 2014in CALCULUSby Tdog79Pupilcalculus uncover a vector orthogonal to both u and v.askedJan 31, 2015in PRECALCULUSby anonymousorthogonal-vector uncover the angle in between the given vectors to the nearest tenth the a degree. U = , v = askedAug 4, 2014in CALCULUSby Tdog79Pupilcalculus The initial and terminal clues of a vector room given.Write a linear combination of the conventional unit vectors i and j.askedJan 24, 2015in TRIGONOMETRYby anonymousunitvectors find the angle between the offered vectors come the nearest tenth that a degree. U = , v = askedJul 30, 2014in TRIGONOMETRYby Tdog79Pupiltrig evaluate the expression: v ⋅ w given the vectors: r = ; v = ; w = askedJul 30, 2014in TRIGONOMETRYby Tdog79Pupiltrig identify whether the vectors u and v are parallel, orthogonal, or neither. U = , v = askedAug 8, 2014in CALCULUSby Tdog79Pupilcalculus usage the law of Sines to deal with (if possible) the triangle. If two services exist, find both.askedMay 7, 2019in PRECALCULUSby anonymouslaw-of-sines use the regulation of Sines to settle (if possible) the triangle. If two remedies exist, find both.askedJan 23, 2015in TRIGONOMETRYby anonymouslaw-of-sinessolve-triangle uncover a 2nd degree polynomial f(x) (of the type ax2+bx+0) that has actually a regional extrema in ~ (−3/4,−9/8).askedOct 18, 2018in CALCULUSby anonymouspolynomial-functionmaximum-minimumrelative-extremamath , ">Determine even if it is the pair the vectors is orthogonalaskedJul 17, 2014in TRIGONOMETRYby anonymous#trigonometryparallel-lines find the unit tangent vector T (t) at the allude with the offered value that the parameter t.askedFeb 17, 2015in CALCULUSby anonymousderivative-vector-equationtangent discover a unit vector that has the exact same direction as the offered vector.askedFeb 14, 2015in CALCULUSby anonymousunit-vectors create an equation for a line given two point out on that line . (4,3) and ( 5,6)askedMar 5, 2014in ALGEBRA 1by dkinzApprenticeequation-of-a-lineslope-of-a-line-through-2points