Find orthonormal vectors 91 92 93 in the plane spanned by u = 32 -2,v= 22 2 and w== 973

Q: Find the unit vector in the direction of <4,2>

A:

Q: Vector v = <1,1,0> and vector w = <-1,-1,sqrt2>. Find the area of the parallelogram…

A: The objective of this question is to find the area of the parallelogram formed by two vectors v and…

Q: find the diJ tance betueen the vectors

A:

Q: Q4\ Find the vector if its magnitude equal √90 and its unit vector is 4i 5j 7k + √90 √90 √90 -

A:

Q: Is the pair of vectors 2i – j and -i+jperpendicular? no yes

A: Given vectors 2i-j and -i+j Two vectors are perpendicular if and only if dot product of those two…

Q: If the cross product of two nonzero vectors is the zero vector, then each of the two vectors is a…

A: Explanation of the answer is as follows

Q: Find the area of the parallelogram defined by the vectors Area = 1 -2 2

A:

Q: Compute the distance between the vectors u = and

A: Given vectors are u=42−16 and v=4315. We have to find the distance between the vectors u→ and v→.…

Q: Do the vectors ū = i+j-4k, V= -5i +3j-7k and w'= -i +4j+2k plane? 1ie in the Same

A: We have to check whether the vectors u→=i+2j-4k, v→=-5i+3j-7k, and w→=-i+4j+2k are in the same…

Q: (c) a-i+25+5k and 6 3i+ 45-E d) ä = 2i + 6j - 4k and 6- -3i - 95 + 6k

A:

Q: Find the angle (in degrees) between the vectors a and b, rounded to two decimal places, where a = 14…

A:

Q: Find the angle between two vectors u = and v =

A:

Q: Find a unit vector that is orthogonal to both ı̂ +ȷ̂  and ı̂ +?̂

A: Given query is to find the unit orthogonal vector to the given vectors.

Q: 150. Determine the real number a such that vectors a = -3i+2j and b = 2i+aj are orthogonal.

A: