Find u x v, v × u, and v × v. u = 6i + 8k v = 3i + 8j – 4k. (a) u x V (b) (c)

Q: Find a + b, 2a + 3b, |a], and la – bl. - a = 5i - 4j + 3k, b = 2j - k a + b = 2a + 3b = |a| = |a -…

A:

Q: Values a and b satisfy (a + 1)2 + (b − 23)4 = 0. Compute the value of ab.

A: We have been given the equation (a + 1)2 + (b − 23)4 = 0

Q: Find (a) v x w ,(b) w x v ,(c) w xw ,and (d) . v x v .

A: Given the vectors v=i−4j+2kw=3i+2j+k

Q: Find a x b

A: Given that a= 2i + j and b= i - j + k Our aim is to calculate a × b = ?

Q: Find u x v, v x u, and v x v. U = 4i + 8k v = 3i + 9j - 6k. (a) u x V (b) V xu

A:

Q: a 2d 2e 2f = -16 h Then | 2d + a 2e + b 2f + c 4g 4h 4i -e -f

A: (IV)    If two rows or columns of a matrix is the same then the determinant of that matrix is zero.

Q: Find (a) u x v, (b) v x u, and (c) v x v.

A:

Q: Verify (a × b) × c = (a ∙ c)b − (b ∙ c)a if a = 4i + 2j + k , b = 2i − j + 7k and c = 2i − 2j + 3k

A: Given that a = 4i + 2j + k , b = 2i − j + 7k and c = 2i − 2j + 3k To verify  (a × b) × c = (a ∙ c)b…

Q: iv) (x+ yi)(3i + 2) = (2x – 3y) + (3x + 2y)i %3D

A: The detailed solution is given below Thank you

Q: (b) d = 3i + 2k b = 4i + 4j – 2k C = i – 2j + 3k, d = 2i – j+ 5k Compute (d x č). (ā – b)

A:

Q: Find u x v, v x u, and v x v. u = 5i + 9k v = 2i + 9j – 4k. (a) U X V (b) (c) v x v

A:

Q: If z = 1+ 2i and w = 3+ 4i, express the following in the rectangular form: (a) 2|w| +(1 – i)2² w + z…

A:

Q: Find (a) u × v, (b) v × u, and (c) v × v.…

A: Given : u =0,2,1v = 1,-3,4(a) u x v = ijk0211-34u x v =i 21-34    -j0114  +k021-3          = i(8+3)…

Q: If v1 =13i+79j, v2x =24, and v1 x v2 =23k , then, what is v2y and v2z?

A:

Q: Find u x v, v x u, and v x v. u = (2, -9, –1) v = (9, -2, -6) (a) ux v (b) v xu (c) v x v V

A: We need to find cross product.

Q: g(x.y)-xn (x-y), as(-2,3) Pind vg ?

A: Given the given function is gx,y=xlnx+y,    x,y=-2,3. Apply gradient formula ∇f=∂f∂xi+∂f∂yj

Q: Determine |z| if z =2−3i.

A: z = x +i*y |z| = √(x2 + y2)

Q: Find u x v, v x u, and v x v. u = 4i + 7k v = 6i + 9j - 5k. (a) ux v (b) (c) V x u V X V

A: We have given two vectors u and v and we want to find the cross product of the given vectors in…

Q: Find a + b, 2a + 3b, lal, and la - bl. a = i +3j - 4k, b = -3i -j + 6k a+b= 2a + 3b = |a| = |a - b|…

A: Given vectors  a = i + 3j - 4kb = -3i - j + 6k

Q: B|a- Find u.v and v xu if u=i+2j-k and v=-2i+2j+2k

A: We have to solve given problem:

Q: Find (a) v x w ,(b) w x v ,(c) w xw ,and (d) . v x v .

A: Solution:Given    v=-i+3j+2k              w=3i-2j-kFind:(a)v×w(b)w×v(c)w×w

Q: Let à = 27 - 5j + 4k and b = − − 5j + 4k. Find -a + b. -ā +b =

A:

Q: What is the value of sec¹(2)? A B C D 5 T 되어 3 -- 3 3 5T 3

A: Let sec-12=x  then     secx=2 As secant is the reciprocal of the cosine function, i.e.…

Q: Let a = - 5i + 33 + 2k and b = - 4i – 3 + 4k. Find a x b. ä xb = k

A: Cross product is the binary operation on two vectors in three dimensional space. It again results in…

Q: Simplify this expression. а. 3D - (D - d) b. i– (2 – 3i2) + iz 4 B+a+ 2B 3 - 2 4 B 3 - С. | 3

A:

Q: m(z + 3i) = 6

A:

Q: Find a + b, 9a + 7b, |a|, and |a - b|. a = 9i – 8j + 7k, b = 7i – 9k a + b = %3D 9а + 7b %3 |a| %3D…

A: To find a+b 9a+7b |a| |a-b|

Q: dv (и? + 1) + 4uv Зи. du

A:

Q: 42 x2 dx =. V(73 + 14) 42 / (x3 + 14)+ C V 28 V (x3 + 14) + C 14 (x3 + 14) + C 84 / (x3 + 14) + C

A: From the basic integration