Just the answer please, not explanation 16. Imagine two vectors A-17i+10j-9k and

Question

Just the answer please, not explanation

16. Imagine two vectors A-17i+10j-9k and B -3i+k, where i, j, and k are the unit vectors along the OX, OY, and respectively OZ axes of a rectangular system. The difference vector A-B can be written as: a. 20i+10j+8k b. 20i-8k c. 14i+10j+8k d. 20i+10j-10k e. None of the above 17. Imagine two vectors A-17i+10j-9k and B--3i+k, where I, j, and k are the unit vectors along the OX, OY, and respectively OZ axes of a rectangular system. The scalar product of these vectors can be written as: a. 20i+10j+8k b. 20i-8k c. 14i+10j+8k e. None of the above 18. Imagine two vectors A-17i+10j-9k and B 3i+k, where I, j, and k are the unit vectors along the OX, OY, and respectively OZ axes of a rectangular system. The vector representing the vector product of A and B can be written as: a. 20i+10j+8k b. 20i-8k c. 14i+10j+8k d. 10i+10j+30k e. None of the above is correct

Explanation / Answer

Q16. vector A = 17i + 10j-9k

vector B = -3i + k

So A- B = (17i + 10j-9k) - (-3i + k)

=( 17 +3)i +(10-0)j +(-9 -1)k

=20 i +10 j -10 k

so option d is the correct answer

Q17.vector A = 17i + 10j-9k

vector B = -3i + k

A. B = 17*(-3) + 10*0 +(-9)*(1)

=-51-9 =-60

so answer is e. none of the above

Q18. vector A = 17i + 10j-9k

vector B = -3i + k

A x B = (17i + 10j-9k) x (-3i + k)

= 17 i x (-3i + k) + 10j x (-3i + k) -9k x (-3i + k)

= 17 (-j) -30(-k) +10i +27 j ( because ixi =jxj=kxk=0 and ixj =k jxk=i kxi=j)

=10 i + 10j + 30k

so option d is the correct answer

all the best in the course work

Related Questions

Navigate

• Browse (All)
• Browse J
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.