Show that u and v are perpendicular in each of the following cases. (i) u = 31 -j+ 2k , v= 2i + 5j – (ii) |u – v| = |u + vl

Q: Solve for x, where u = (1, -1, 2), v = (0, 4, 1), and w: %3D 5u – 2x = 3v + w X =

A: It is vector problem.

Q: Find the cross product u x v where i = 3i +6j +9k and v = (- 2, – 4, 5). ux v =

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Q: Write the ratio as a ratio of whole numbers using fractional notation 12 to 1

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Q: D7 + D® – 2D$ – 2D4 – 7D³ – 7D² – 4D – 4) y = 0 - - - -

A: follow next step

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: Show that (u×v)· w = u ·(v×w).

A: As we know that, Multiplication is an Associative Property, i.e. (a x b).c=a.(b x c) and Sometimes…

Q: Find u x v, v × u, and v × v. u = i - j, v=j - k V (a) u x v (b) v x u (c) v x v

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Q: If u = 2x – 3, thenx V2x – 3dx :

A:

Q: Find HJ 3x- 1 H I 12 •J -1 + 15x

A: Given problem:-

Q: Find the value of ‘v’ in v2 – 2v -15 = 0, if v is a natural number.

A: Given quadratic equation is,

Q: Find u x v, v x u, and v x v. u = -5i + 3j v = 4i + 5j + 2k (a) u x v (b) v xu (c) V x V

A: The objective of this question is to find the cross products of the given vectors. The cross product…

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

A:

Q: If u = -i + 4j - 7k and v = 5i - 2j - 9k calculate the product of u . v  u . v =

A: Use the dot product for finding the product of vector .

Q: Uz + xuy = x²y, u ( x, 2x + = 5x

A:

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

A: This question is based on cross product.

Q: Determine C if u=v=0 (20 — 5и + 3)dv — (20 + 4и — 6)du 3 0 - 3 27 -1

A: Let's find.

Q: Soly

A: Given  u = ( -1 , 0, 1, 1)   v = ( 2, 3, -1, 0)

Q: Find u x v, v × u, and v x v. u = 2i + 9k v = 4i + 6j – 3k. (a) UX V (b) (c) V X V

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Q: Let u= 31-2j + k and v= 2i – 2j + 2k. Find ux y.

A:

Q: 1. (1+ V)²dx 2 2. (교2-z) dr (r-1 +x)2 3. xp-

A: solve the following

Q: Write the following equation in the form w = u(x,y) + iv(x,y) h(z) = (3z + 2i) / (2z2 + 4)

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Q: Write the following equation in the form w = u(x,y) + iv(x,y) h(z) = (3z + 2i) / (2z2 + 4)

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Q: Given that Z = 6x4y+3x³y2 find Zx at the point (2,6)

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Q: Assume that u- v = 7, ||u|| = 3, and ||v|| = 3. What is the value of 5u- (9u – 7v)?

A: Given, u.v = 7  u = 3    and   v = 3   We have to find the value of 5u.(9u-7v)