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Vectors · Question 10 of 125

Question 10

EasyOriginal question

The vectors (x+1)i^+3j^−2k^(x + 1)\hat{i} + 3\hat{j} - 2\hat{k} and 4i^+(y−2)j^+zk^4\hat{i} + (y - 2)\hat{j} + z\hat{k} are equal. What is x+y+zx + y + z?

Options for question 10

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Equal vectors have equal components: x+1=4x + 1 = 4, 3=y−23 = y - 2 and −2=z-2 = z.

  2. x=3x = 3, y=5y = 5, z=−2z = -2, so x+y+z=6x + y + z = 6.

Worth noting

10 takes z=2z = 2, dropping the minus sign of the k^\hat{k} component.

Concept
Equal vectors
Typical time
60 s
Your time
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Ten questions from Vectors, at your own pace.

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Ten questions from Vectors, at your own pace.