(a) Find the value of p so that the vectors i+2j+k and i+j+ pk are perpendicular. Find the cosine of the angle between the vectors 2i+j+k and i-j-2k. Hence, find the length of projection of 2i+j+k on i-j-2k . (b) (c) If a = i+2j-k and b = j+k, find a unit vector perpendicular to both a and b.

Q: Solve the following equations. a. -x+1=7 b. 1-x= -11 C. X-7=

A: (a) - x + 1 = 7 So, x = 1 - 7  So, x = - 6

Q: A quadrilateral is a four­sided figure like the one shown below whose angle sum is 360°. If one…

A: Given, one angle measures x° second angle measures 3x° third angle measures 5x°     Find the fourth…

Q: The sum of two numbers is 53, and the difference between the numbers is 5. Find the numbers. The…

A: Given :  Sum of two numbers is 53.  Difference between the numbers is 5.

Q: X= 4+ 2+X

A:

Q: Solve for x: 64" = 256¹+1

A:

Q: 4. Solve for b: 2 5. Solve for x: x + (-5) = -7 2. ||

A:

Q: Solve the following: 3 | -9 x - 7 | - 2 = 13

A: Simplify the given equation as follows.

Q: What are the solutions to the following equation 4+4=1

A:

Q: Solve for a 3a - 6 = 3

A: we have the equation3a-6=3add both side by 6 we get 3a-6+6=3+6solving the equation we get 3a=9

Q: please

A: Given: The given equation is x6+x5+32x+32=0. To find: The main aim is to find all the solutions of…

Q: How many possible roots? -2

A:

Q: Solve the following equation. Write your solution in the box. 3 loge(2x + 5) = 12

A:

Q: Solve the following equation: x= Jx +30 O A. 36 O B. 37 O C. 35 O D. Both A and B O E. Both B and C

A:

Q: 5. Solve each of the following equations for x: a. 3x+7=9x+1 b. 16+3 64*-5 =

A: Use the exponent rules: 1). amn=am·n 2). If am=an then m=n.     (a). The given equation is:…

Q: 9. Solve the equation ur + 2xy²uy = 0.

A:

Q: Solve the following rational inequality for x. Give your answer in interval notation. Provide your…

A: Let's solve for x.

Q: Evaluate: y Ps O 360 O 35 O 210 O 21

A: